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2713307328 = 26336125741
BaseRepresentation
bin1010000110111001…
…1100100011000000
321000002120021221000
42201232130203000
521024101313303
61125123332000
7124144505664
oct24156344300
97002507830
102713307328
111172655a56
12638821000
133431957c4
141ba4d88a4
1510d312da3
hexa1b9c8c0

2713307328 has 112 divisors (see below), whose sum is σ = 8107700320. Its totient is φ = 889574400.

The previous prime is 2713307323. The next prime is 2713307339. The reversal of 2713307328 is 8237033172.

2713307328 is a `hidden beast` number, since 27 + 1 + 3 + 307 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2713307292 and 2713307301.

It is not an unprimeable number, because it can be changed into a prime (2713307323) 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 15 ways as a sum of consecutive naturals, for example, 92538 + ... + 118278.

Almost surely, 22713307328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2713307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053850160).

2713307328 is an abundant number, since it is smaller than the sum of its proper divisors (5394392992).

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

2713307328 is a wasteful number, since it uses less digits than its factorization.

2713307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25823 (or 25807 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2713307328 is about 52089.4166602008. The cubic root of 2713307328 is about 1394.7605740093.

The spelling of 2713307328 in words is "two billion, seven hundred thirteen million, three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 144 183 192 216 244 288 366 432 488 549 576 732 864 976 1098 1464 1647 1728 1952 2196 2928 3294 3904 4392 5856 6588 8784 11712 13176 17568 25741 26352 35136 51482 52704 77223 102964 105408 154446 205928 231669 308892 411856 463338 617784 695007 823712 926676 1235568 1390014 1570201 1647424 1853352 2471136 2780028 3140402 3706704 4710603 4942272 5560056 6280804 7413408 9421206 11120112 12561608 14131809 14826816 18842412 22240224 25123216 28263618 37684824 42395427 44480448 50246432 56527236 75369648 84790854 100492864 113054472 150739296 169581708 226108944 301478592 339163416 452217888 678326832 904435776 1356653664 2713307328