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56987520 = 273567443
BaseRepresentation
bin1101100101100…
…0111110000000
310222020021011220
43121120332000
5104042100040
65353235040
71261246242
oct331307600
9128207156
1056987520
112a193627
1217102a80
13ba63a35
1477d6092
15500a2d0
hex3658f80

56987520 has 128 divisors (see below), whose sum is σ = 184775040. Its totient is φ = 14936064.

The previous prime is 56987509. The next prime is 56987527. The reversal of 56987520 is 2578965.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56987527) 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, 128419 + ... + 128861.

It is an arithmetic number, because the mean of its divisors is an integer number (1443555).

Almost surely, 256987520 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 56987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92387520).

56987520 is an abundant number, since it is smaller than the sum of its proper divisors (127787520).

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

56987520 is a wasteful number, since it uses less digits than its factorization.

56987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 56987520 is about 7549.0078818345. The cubic root of 56987520 is about 384.8220237710.

The spelling of 56987520 in words is "fifty-six million, nine hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 443 480 536 640 670 804 886 960 1005 1072 1329 1340 1608 1772 1920 2010 2144 2215 2658 2680 3216 3544 4020 4288 4430 5316 5360 6432 6645 7088 8040 8576 8860 10632 10720 12864 13290 14176 16080 17720 21264 21440 25728 26580 28352 29681 32160 35440 42528 42880 53160 56704 59362 64320 70880 85056 89043 106320 118724 128640 141760 148405 170112 178086 212640 237448 283520 296810 356172 425280 445215 474896 593620 712344 850560 890430 949792 1187240 1424688 1780860 1899584 2374480 2849376 3561720 3799168 4748960 5698752 7123440 9497920 11397504 14246880 18995840 28493760 56987520