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60145056 = 2532208837
BaseRepresentation
bin1110010101101…
…1110110100000
311012011200111200
43211123312200
5110344120211
65545041200
71330140006
oct345336640
9135150450
1060145056
1130a4a964
1218186200
13c5cacba
147db8a76
155430b56
hex395bda0

60145056 has 36 divisors (see below), whose sum is σ = 171038322. Its totient is φ = 20048256.

The previous prime is 60145049. The next prime is 60145079. The reversal of 60145056 is 65054106.

It is a happy number.

60145056 is a `hidden beast` number, since 601 + 4 + 5 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59536656 + 608400 = 7716^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×601450562 = 7234855522486272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104131 + ... + 104706.

Almost surely, 260145056 is an apocalyptic number.

It is an amenable number.

60145056 is an abundant number, since it is smaller than the sum of its proper divisors (110893266).

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

60145056 is a wasteful number, since it uses less digits than its factorization.

60145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208853 (or 208842 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 60145056 is about 7755.3243645898. The cubic root of 60145056 is about 391.8019963517.

The spelling of 60145056 in words is "sixty million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 208837 417674 626511 835348 1253022 1670696 1879533 2506044 3341392 3759066 5012088 6682784 7518132 10024176 15036264 20048352 30072528 60145056