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712163424 = 253710310289
BaseRepresentation
bin101010011100101…
…100000001100000
31211122001122120010
4222130230001200
52424303212144
6154400044520
723435201130
oct5234540140
91748048503
10712163424
11335aa7a15
1217a603740
13b470a89b
146a822ac0
15427c65b9
hex2a72c060

712163424 has 96 divisors (see below), whose sum is σ = 2157442560. Its totient is φ = 201480192.

The previous prime is 712163393. The next prime is 712163447. The reversal of 712163424 is 424361217.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 712163391 and 712163400.

It is a congruent number.

It is an unprimeable number.

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, 64072 + ... + 74360.

It is an arithmetic number, because the mean of its divisors is an integer number (22473360).

Almost surely, 2712163424 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 712163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078721280).

712163424 is an abundant number, since it is smaller than the sum of its proper divisors (1445279136).

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

712163424 is a wasteful number, since it uses less digits than its factorization.

712163424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10404 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 712163424 is about 26686.3902392212. The cubic root of 712163424 is about 893.0173328514.

The spelling of 712163424 in words is "seven hundred twelve million, one hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4944 5768 8652 9888 10289 11536 17304 20578 23072 30867 34608 41156 61734 69216 72023 82312 123468 144046 164624 216069 246936 288092 329248 432138 493872 576184 864276 987744 1059767 1152368 1728552 2119534 2304736 3179301 3457104 4239068 6358602 6914208 7418369 8478136 12717204 14836738 16956272 22255107 25434408 29673476 33912544 44510214 50868816 59346952 89020428 101737632 118693904 178040856 237387808 356081712 712163424