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56719960 = 23511211719
BaseRepresentation
bin1101100001011…
…1101001011000
310221201200011021
43120113221120
5104010014320
65343412224
71256053213
oct330275130
9127650137
1056719960
112a020600
1216bb4074
13b99c00b
14776677a
154ea5daa
hex3617a58

56719960 has 48 divisors (see below), whose sum is σ = 140288400. Its totient is φ = 20623680.

The previous prime is 56719931. The next prime is 56719963. The reversal of 56719960 is 6991765.

56719960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56719963) 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 11 ways as a sum of consecutive naturals, for example, 1020 + ... + 10699.

It is an arithmetic number, because the mean of its divisors is an integer number (2922675).

Almost surely, 256719960 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 56719960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70144200).

56719960 is an abundant number, since it is smaller than the sum of its proper divisors (83568440).

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

56719960 is a wasteful number, since it uses less digits than its factorization.

56719960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 56719960 is about 7531.2654979094. The cubic root of 56719960 is about 384.2188242077.

The spelling of 56719960 in words is "fifty-six million, seven hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 11719 23438 46876 58595 93752 117190 128909 234380 257818 468760 515636 644545 1031272 1289090 1417999 2578180 2835998 5156360 5671996 7089995 11343992 14179990 28359980 56719960