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4270200320 = 2952337159
BaseRepresentation
bin1111111010000110…
…0001011000000000
3102000121010122121102
43332201201120000
532221132402240
61543421113532
7210551050421
oct37641413000
912017118542
104270200320
1118a1464781
129b20b88a8
135308b7769
142c71ab648
1519ed49815
hexfe861600

4270200320 has 80 divisors (see below), whose sum is σ = 10283850720. Its totient is φ = 1700511744.

The previous prime is 4270200313. The next prime is 4270200329. The reversal of 4270200320 is 230020724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42702003202 = 36469221545856204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4270200292 and 4270200301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270200329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592901 + ... + 600059.

It is an arithmetic number, because the mean of its divisors is an integer number (128548134).

Almost surely, 24270200320 is an apocalyptic number.

4270200320 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 4270200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141925360).

4270200320 is an abundant number, since it is smaller than the sum of its proper divisors (6013650400).

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

4270200320 is an equidigital number, since it uses as much as digits as its factorization.

4270200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 4270200320 is about 65346.7697747945. The cubic root of 4270200320 is about 1622.3681667935.

The spelling of 4270200320 in words is "four billion, two hundred seventy million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 512 640 932 1165 1280 1864 2330 2560 3728 4660 7159 7456 9320 14318 14912 18640 28636 29824 35795 37280 57272 59648 71590 74560 114544 119296 143180 149120 229088 286360 298240 458176 572720 596480 916352 1145440 1668047 1832704 2290880 3336094 3665408 4581760 6672188 8340235 9163520 13344376 16680470 18327040 26688752 33360940 53377504 66721880 106755008 133443760 213510016 266887520 427020032 533775040 854040064 1067550080 2135100160 4270200320