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5135087328 = 253737206527
BaseRepresentation
bin1001100100001001…
…10011011011100000
3111020212120110112120
410302010303123200
541004040243303
62205314424240
7241152344040
oct46204633340
914225513476
105135087328
1121a5694128
12bb3892080
1363ab38b17
14369dc7720
15200c3c553
hex1321336e0

5135087328 has 96 divisors (see below), whose sum is σ = 15821697024. Its totient is φ = 1427507712.

The previous prime is 5135087327. The next prime is 5135087339. The reversal of 5135087328 is 8237805315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5135087328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135087323) 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, 78400 + ... + 128127.

It is an arithmetic number, because the mean of its divisors is an integer number (164809344).

Almost surely, 25135087328 is an apocalyptic number.

It is an amenable number.

5135087328 is an abundant number, since it is smaller than the sum of its proper divisors (10686609696).

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

5135087328 is a wasteful number, since it uses less digits than its factorization.

5135087328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206584 (or 206576 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5135087328 is about 71659.5236378250. The cubic root of 5135087328 is about 1725.2390430334.

The spelling of 5135087328 in words is "five billion, one hundred thirty-five million, eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 206527 413054 619581 826108 1239162 1445689 1652216 2478324 2891378 3304432 4337067 4956648 5782756 6608864 7641499 8674134 9913296 11565512 15282998 17348268 19826592 22924497 23131024 30565996 34696536 45848994 46262048 53490493 61131992 69393072 91697988 106980986 122263984 138786144 160471479 183395976 213961972 244527968 320942958 366791952 427923944 641885916 733583904 855847888 1283771832 1711695776 2567543664 5135087328