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56995920 = 2433526387
BaseRepresentation
bin1101100101101…
…1000001010000
310222020200201000
43121123001100
5104042332140
65353342000
71261312602
oct331330120
9128220630
1056995920
112a199973
1217107900
13ba677c7
1477d9172
15500ca30
hex365b050

56995920 has 80 divisors (see below), whose sum is σ = 196326720. Its totient is φ = 15198336.

The previous prime is 56995919. The next prime is 56995921. The reversal of 56995920 is 2959965.

56995920 is a `hidden beast` number, since 56 + 9 + 9 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56995919) and next prime (56995921).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56995921) 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, 11034 + ... + 15353.

It is an arithmetic number, because the mean of its divisors is an integer number (2454084).

Almost surely, 256995920 is an apocalyptic number.

It is an amenable number.

56995920 is an abundant number, since it is smaller than the sum of its proper divisors (139330800).

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

56995920 is a wasteful number, since it uses less digits than its factorization.

56995920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26409 (or 26397 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 56995920 is about 7549.5642258345. The cubic root of 56995920 is about 384.8409305199.

The spelling of 56995920 in words is "fifty-six million, nine hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 26387 52774 79161 105548 131935 158322 211096 237483 263870 316644 395805 422192 474966 527740 633288 712449 791610 949932 1055480 1187415 1266576 1424898 1583220 1899864 2110960 2374830 2849796 3166440 3562245 3799728 4749660 5699592 6332880 7124490 9499320 11399184 14248980 18998640 28497960 56995920