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4630236240 = 243573774489
BaseRepresentation
bin1000100111111101…
…11100110001010000
3102221200121101001010
410103332330301100
533440320024430
62043242010520
7222512234010
oct42376746120
912850541033
104630236240
111a66714023
12a927a6a40
1358a375976
1431cd2bc40
151c1766cb0
hex113fbcc50

4630236240 has 160 divisors (see below), whose sum is σ = 16847850240. Its totient is φ = 1029722112.

The previous prime is 4630236227. The next prime is 4630236241. The reversal of 4630236240 is 426320364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4630236198 and 4630236207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630236241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24916 + ... + 99404.

It is an arithmetic number, because the mean of its divisors is an integer number (105299064).

Almost surely, 24630236240 is an apocalyptic number.

4630236240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4630236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8423925120).

4630236240 is an abundant number, since it is smaller than the sum of its proper divisors (12217614000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4630236240 is a wasteful number, since it uses less digits than its factorization.

4630236240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74549 (or 74543 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 4630236240 is about 68045.8392556077. The cubic root of 4630236240 is about 1666.7394567320.

The spelling of 4630236240 in words is "four billion, six hundred thirty million, two hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3885 4144 4440 5180 6216 7770 8880 10360 12432 15540 20720 31080 62160 74489 148978 223467 297956 372445 446934 521423 595912 744890 893868 1042846 1117335 1191824 1489780 1564269 1787736 2085692 2234670 2607115 2756093 2979560 3128538 3575472 4171384 4469340 5214230 5512186 5959120 6257076 7821345 8268279 8342768 8938680 10428460 11024372 12514152 13780465 15642690 16536558 17877360 19292651 20856920 22048744 25028304 27560930 31285380 33073116 38585302 41341395 41713840 44097488 55121860 57877953 62570760 66146232 77170604 82682790 96463255 110243720 115755906 125141520 132292464 154341208 165365580 192926510 220487440 231511812 289389765 308682416 330731160 385853020 463023624 578779530 661462320 771706040 926047248 1157559060 1543412080 2315118120 4630236240