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4513720640 = 265111398639
BaseRepresentation
bin1000011010000100…
…11110100101000000
3102122120100202200112
410031002132211000
533221003030030
62023520410452
7216565664252
oct41502364500
912576322615
104513720640
111a06972140
12a5b776a28
1356c19ba20
1430b67bcd2
151b63eda95
hex10d09e940

4513720640 has 112 divisors (see below), whose sum is σ = 12627498240. Its totient is φ = 1515079680.

The previous prime is 4513720639. The next prime is 4513720649. The reversal of 4513720640 is 460273154.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4513720597 and 4513720606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4513720649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560 + ... + 95079.

It is an arithmetic number, because the mean of its divisors is an integer number (112745520).

Almost surely, 24513720640 is an apocalyptic number.

4513720640 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 4513720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313749120).

4513720640 is an abundant number, since it is smaller than the sum of its proper divisors (8113777600).

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

4513720640 is a wasteful number, since it uses less digits than its factorization.

4513720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98680 (or 98670 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4513720640 is about 67184.2291017766. The cubic root of 4513720640 is about 1652.6398684446.

Adding to 4513720640 its reverse (460273154), we get a palindrome (4973993794).

The spelling of 4513720640 in words is "four billion, five hundred thirteen million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3520 4160 4576 5720 9152 11440 22880 45760 98639 197278 394556 493195 789112 986390 1085029 1282307 1578224 1972780 2170058 2564614 3156448 3945560 4340116 5129228 5425145 6312896 6411535 7891120 8680232 10258456 10850290 12823070 14105377 15782240 17360464 20516912 21700580 25646140 28210754 31564480 34720928 41033824 43401160 51292280 56421508 69441856 70526885 82067648 86802320 102584560 112843016 141053770 173604640 205169120 225686032 282107540 347209280 410338240 451372064 564215080 902744128 1128430160 2256860320 4513720640