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56114240 = 2657134147
BaseRepresentation
bin1101011000001…
…1110001000000
310220120220021012
43112003301000
5103331123430
65322420052
71250651240
oct326036100
9126526235
1056114240
1129747506
1216961628
13b8193c0
147649b20
154dd6695
hex3583c40

56114240 has 224 divisors, whose sum is σ = 172053504. Its totient is φ = 16957440.

The previous prime is 56114231. The next prime is 56114293. The reversal of 56114240 is 4241165.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193897 + ... + 1193943.

It is an arithmetic number, because the mean of its divisors is an integer number (768096).

Almost surely, 256114240 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 56114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86026752).

56114240 is an abundant number, since it is smaller than the sum of its proper divisors (115939264).

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

56114240 is a wasteful number, since it uses less digits than its factorization.

56114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 56114240 is about 7490.9438657622. The cubic root of 56114240 is about 382.8462184877.

The spelling of 56114240 in words is "fifty-six million, one hundred fourteen thousand, two hundred forty".