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56154960 = 24325233391
BaseRepresentation
bin1101011000110…
…1101101010000
310220122222010100
43112031231100
5103333424320
65323332400
71251211041
oct326155520
9126588110
1056154960
1129775064
1216981100
13b831ab4
14765a8c8
154de3790
hex358db50

56154960 has 120 divisors (see below), whose sum is σ = 196844544. Its totient is φ = 14319360.

The previous prime is 56154929. The next prime is 56155003. The reversal of 56154960 is 6945165.

56154960 is a `hidden beast` number, since 56 + 1 + 549 + 60 = 666.

56154960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14865 + ... + 18255.

Almost surely, 256154960 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 56154960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98422272).

56154960 is an abundant number, since it is smaller than the sum of its proper divisors (140689584).

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

56154960 is a wasteful number, since it uses less digits than its factorization.

56154960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56154960 is about 7493.6613214102. The cubic root of 56154960 is about 382.9388018119.

The spelling of 56154960 in words is "fifty-six million, one hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 3391 4140 5520 6782 8280 10173 13564 16560 16955 20346 27128 30519 33910 40692 50865 54256 61038 67820 77993 81384 101730 122076 135640 152595 155986 162768 203460 233979 244152 271280 305190 311972 389965 406920 467958 488304 610380 623944 701937 779930 813840 935916 1169895 1220760 1247888 1403874 1559860 1871832 2339790 2441520 2807748 3119720 3509685 3743664 4679580 5615496 6239440 7019370 9359160 11230992 14038740 18718320 28077480 56154960