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56973720 = 23351672843
BaseRepresentation
bin1101100101010…
…1100110011000
310222012120020210
43121111212120
5104041124340
65353051120
71261161066
oct331254630
9128176223
1056973720
112a184221
12170b6aa0
13ba5a67b
1477d1036
155006180
hex3655998

56973720 has 64 divisors (see below), whose sum is σ = 172005120. Its totient is φ = 15096704.

The previous prime is 56973713. The next prime is 56973727. The reversal of 56973720 is 2737965.

56973720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56973713) and next prime (56973727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56973727) 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 15 ways as a sum of consecutive naturals, for example, 18619 + ... + 21461.

It is an arithmetic number, because the mean of its divisors is an integer number (2687580).

Almost surely, 256973720 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 56973720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

56973720 is an abundant number, since it is smaller than the sum of its proper divisors (115031400).

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

56973720 is a wasteful number, since it uses less digits than its factorization.

56973720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 56973720 is about 7548.0937990992. The cubic root of 56973720 is about 384.7909586498.

The spelling of 56973720 in words is "fifty-six million, nine hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2505 2843 3340 4008 5010 5686 6680 8529 10020 11372 14215 17058 20040 22744 28430 34116 42645 56860 68232 85290 113720 170580 341160 474781 949562 1424343 1899124 2373905 2848686 3798248 4747810 5697372 7121715 9495620 11394744 14243430 18991240 28486860 56973720