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54054960 = 2435792851
BaseRepresentation
bin1100111000110…
…1000000110000
310202201021110120
43032031000300
5102314224320
65210330240
71224313431
oct316150060
9122637416
1054054960
1128570323
1216129980
13b277cab
147271488
154b2b440
hex338d030

54054960 has 80 divisors (see below), whose sum is σ = 169751040. Its totient is φ = 14227200.

The previous prime is 54054947. The next prime is 54054971. The reversal of 54054960 is 6945045.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17535 + ... + 20385.

It is an arithmetic number, because the mean of its divisors is an integer number (2121888).

Almost surely, 254054960 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 54054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84875520).

54054960 is an abundant number, since it is smaller than the sum of its proper divisors (115696080).

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

54054960 is a wasteful number, since it uses less digits than its factorization.

54054960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 54054960 is about 7352.2078316653. The cubic root of 54054960 is about 378.1045034538.

The spelling of 54054960 in words is "fifty-four million, fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 2851 3160 3792 4740 5702 6320 8553 9480 11404 14255 17106 18960 22808 28510 34212 42765 45616 57020 68424 85530 114040 136848 171060 225229 228080 342120 450458 675687 684240 900916 1126145 1351374 1801832 2252290 2702748 3378435 3603664 4504580 5405496 6756870 9009160 10810992 13513740 18018320 27027480 54054960