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54074560 = 265295827
BaseRepresentation
bin1100111001000…
…1110011000000
310202202021100111
43032101303000
5102320341220
65211001104
71224424531
oct316216300
9122667314
1054074560
1128584021
1216139194
13b283ba7
147278688
154b3215a
hex3391cc0

54074560 has 56 divisors (see below), whose sum is σ = 133228080. Its totient is φ = 20880384.

The previous prime is 54074557. The next prime is 54074563. The reversal of 54074560 is 6547045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54074557) and next prime (54074563).

It is not an unprimeable number, because it can be changed into a prime (54074563) by changing a digit.

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, 6367 + ... + 12193.

Almost surely, 254074560 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 54074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66614040).

54074560 is an abundant number, since it is smaller than the sum of its proper divisors (79153520).

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

54074560 is a wasteful number, since it uses less digits than its factorization.

54074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 54074560 is about 7353.5406437987. The cubic root of 54074560 is about 378.1501973965.

The spelling of 54074560 in words is "fifty-four million, seventy-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 5827 9280 11654 23308 29135 46616 58270 93232 116540 168983 186464 233080 337966 372928 466160 675932 844915 932320 1351864 1689830 1864640 2703728 3379660 5407456 6759320 10814912 13518640 27037280 54074560