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54074160 = 24325710729
BaseRepresentation
bin1100111001000…
…1101100110000
310202202020210200
43032101230300
5102320333120
65210555200
71224423420
oct316215460
9122666720
1054074160
1128583798
1216138b00
13b28395a
147278480
154b31e90
hex3391b30

54074160 has 120 divisors (see below), whose sum is σ = 207561120. Its totient is φ = 12358656.

The previous prime is 54074123. The next prime is 54074191. The reversal of 54074160 is 6147045.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325 + ... + 10404.

It is an arithmetic number, because the mean of its divisors is an integer number (1729676).

Almost surely, 254074160 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 54074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103780560).

54074160 is an abundant number, since it is smaller than the sum of its proper divisors (153486960).

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

54074160 is a wasteful number, since it uses less digits than its factorization.

54074160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54074160 is about 7353.5134459658. The cubic root of 54074160 is about 378.1492649775.

The spelling of 54074160 in words is "fifty-four million, seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 10729 21458 32187 42916 53645 64374 75103 85832 96561 107290 128748 150206 160935 171664 193122 214580 225309 257496 300412 321870 375515 386244 429160 450618 482805 514992 600824 643740 675927 751030 772488 858320 901236 965610 1126545 1201648 1287480 1351854 1502060 1544976 1802472 1931220 2253090 2574960 2703708 3004120 3379635 3604944 3862440 4506180 5407416 6008240 6759270 7724880 9012360 10814832 13518540 18024720 27037080 54074160