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56234040 = 23352511867
BaseRepresentation
bin1101011010000…
…1000000111000
310220210222121020
43112201000320
5103343442130
65325142440
71251660432
oct326410070
9126728536
1056234040
1129819515
12169baa20
13b85baa5
14767b652
154e0be10
hex35a1038

56234040 has 64 divisors (see below), whose sum is σ = 169464960. Its totient is φ = 14928000.

The previous prime is 56234039. The next prime is 56234041. The reversal of 56234040 is 4043265.

It is an interprime number because it is at equal distance from previous prime (56234039) and next prime (56234041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56234040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56234041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29187 + ... + 31053.

It is an arithmetic number, because the mean of its divisors is an integer number (2647890).

Almost surely, 256234040 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 56234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84732480).

56234040 is an abundant number, since it is smaller than the sum of its proper divisors (113230920).

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

56234040 is a wasteful number, since it uses less digits than its factorization.

56234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 56234040 is about 7498.9359245162. The cubic root of 56234040 is about 383.1184748473.

The spelling of 56234040 in words is "fifty-six million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 1867 2008 2510 3012 3734 3765 5020 5601 6024 7468 7530 9335 10040 11202 14936 15060 18670 22404 28005 30120 37340 44808 56010 74680 112020 224040 468617 937234 1405851 1874468 2343085 2811702 3748936 4686170 5623404 7029255 9372340 11246808 14058510 18744680 28117020 56234040