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1080765072 = 243317147163
BaseRepresentation
bin100000001101011…
…0010101010010000
32210022122112222000
41000122302222100
54203133440242
6255124314000
735532231402
oct10032625220
92708575860
101080765072
11505077882
12261b42900
13142ba787a
14a3772b72
1564d36a4c
hex406b2a90

1080765072 has 80 divisors (see below), whose sum is σ = 3284700480. Its totient is φ = 339061248.

The previous prime is 1080765071. The next prime is 1080765113. The reversal of 1080765072 is 2705670801.

1080765072 is a `hidden beast` number, since 1 + 0 + 80 + 76 + 507 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1080765071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66238 + ... + 80925.

It is an arithmetic number, because the mean of its divisors is an integer number (41058756).

Almost surely, 21080765072 is an apocalyptic number.

1080765072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1080765072 is an abundant number, since it is smaller than the sum of its proper divisors (2203935408).

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

1080765072 is a wasteful number, since it uses less digits than its factorization.

1080765072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147197 (or 147185 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1080765072 is about 32874.9915893525. The cubic root of 1080765072 is about 1026.2277802128.

The spelling of 1080765072 in words is "one billion, eighty million, seven hundred sixty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 147163 294326 441489 588652 882978 1177304 1324467 1765956 2354608 2501771 2648934 3531912 3973401 5003542 5297868 7063824 7505313 7946802 10007084 10595736 15010626 15893604 20014168 21191472 22515939 30021252 31787208 40028336 45031878 60042504 63574416 67547817 90063756 120085008 135095634 180127512 270191268 360255024 540382536 1080765072