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1364725728 = 253217278743
BaseRepresentation
bin101000101011000…
…0000111111100000
310112002222020202100
41101112000333200
510243332210403
6343230450400
745550656132
oct12126007740
93462866670
101364725728
11640396703
12321063a00
1318997ac22
14cd36d052
157ec282a3
hex51580fe0

1364725728 has 72 divisors (see below), whose sum is σ = 4109244048. Its totient is φ = 428147712.

The previous prime is 1364725709. The next prime is 1364725763. The reversal of 1364725728 is 8275274631.

1364725728 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 72 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 134476 + ... + 144267.

It is an arithmetic number, because the mean of its divisors is an integer number (57072834).

Almost surely, 21364725728 is an apocalyptic number.

1364725728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1364725728 is an abundant number, since it is smaller than the sum of its proper divisors (2744518320).

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

1364725728 is a wasteful number, since it uses less digits than its factorization.

1364725728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278776 (or 278765 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1364725728 is about 36942.1944123518. The cubic root of 1364725728 is about 1109.2134481335.

The spelling of 1364725728 in words is "one billion, three hundred sixty-four million, seven hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 278743 557486 836229 1114972 1672458 2229944 2508687 3344916 4459888 4738631 5017374 6689832 8919776 9477262 10034748 13379664 14215893 18954524 20069496 26759328 28431786 37909048 40138992 42647679 56863572 75818096 80277984 85295358 113727144 151636192 170590716 227454288 341181432 454908576 682362864 1364725728