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54037680 = 2435225157
BaseRepresentation
bin1100111000100…
…0110010110000
310202200101202120
43032020302300
5102313201210
65210114240
71224212154
oct316106260
9122611676
1054037680
1128559344
121611b980
13b270178
147269064
154b26270
hex3388cb0

54037680 has 40 divisors (see below), whose sum is σ = 167517552. Its totient is φ = 14409984.

The previous prime is 54037667. The next prime is 54037699. The reversal of 54037680 is 8673045.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112339 + ... + 112818.

Almost surely, 254037680 is an apocalyptic number.

It is an amenable number.

54037680 is an abundant number, since it is smaller than the sum of its proper divisors (113479872).

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

54037680 is a wasteful number, since it uses less digits than its factorization.

54037680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225173 (or 225167 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 54037680 is about 7351.0325805291. The cubic root of 54037680 is about 378.0642090192.

The spelling of 54037680 in words is "fifty-four million, thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 225157 450314 675471 900628 1125785 1350942 1801256 2251570 2701884 3377355 3602512 4503140 5403768 6754710 9006280 10807536 13509420 18012560 27018840 54037680