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56376240 = 2435467503
BaseRepresentation
bin1101011100001…
…1101110110000
310221002012122220
43113003232300
5103413014430
65332201040
71253122134
oct327035660
9127065586
1056376240
1129906338
1216a69180
13b8ab72b
1476b73c4
154e39110
hex35c3bb0

56376240 has 80 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 14971648.

The previous prime is 56376239. The next prime is 56376241. The reversal of 56376240 is 4267365.

It is an interprime number because it is at equal distance from previous prime (56376239) and next prime (56376241).

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

It is not an unprimeable number, because it can be changed into a prime (56376241) 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, 111829 + ... + 112331.

Almost surely, 256376240 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 56376240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

56376240 is an abundant number, since it is smaller than the sum of its proper divisors (119112528).

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

56376240 is a wasteful number, since it uses less digits than its factorization.

56376240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 56376240 is about 7508.4112833542. The cubic root of 56376240 is about 383.4411358221.

It can be divided in two parts, 56376 and 240, that added together give a triangular number (56616 = T336).

The spelling of 56376240 in words is "fifty-six million, three hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467 503 934 1006 1401 1509 1868 2012 2335 2515 2802 3018 3736 4024 4670 5030 5604 6036 7005 7472 7545 8048 9340 10060 11208 12072 14010 15090 18680 20120 22416 24144 28020 30180 37360 40240 56040 60360 112080 120720 234901 469802 704703 939604 1174505 1409406 1879208 2349010 2818812 3523515 3758416 4698020 5637624 7047030 9396040 11275248 14094060 18792080 28188120 56376240