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60055104 = 263479653
BaseRepresentation
bin1110010100010…
…1111001000000
311012000010010010
43211011321000
5110333230404
65543104520
71326313524
oct345057100
9135003103
1060055104
113099931a
1218142140
13c599085
147d93d84
155414189
hex3945e40

60055104 has 56 divisors (see below), whose sum is σ = 159471360. Its totient is φ = 19945984.

The previous prime is 60055087. The next prime is 60055123. The reversal of 60055104 is 40155006.

It is a happy number.

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, 91642 + ... + 92294.

Almost surely, 260055104 is an apocalyptic number.

60055104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79735680).

60055104 is an abundant number, since it is smaller than the sum of its proper divisors (99416256).

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

60055104 is a wasteful number, since it uses less digits than its factorization.

60055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 60055104 is about 7749.5228240196. The cubic root of 60055104 is about 391.6065745944.

The spelling of 60055104 in words is "sixty million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 479 653 958 1306 1437 1916 1959 2612 2874 3832 3918 5224 5748 7664 7836 10448 11496 15328 15672 20896 22992 30656 31344 41792 45984 62688 91968 125376 312787 625574 938361 1251148 1876722 2502296 3753444 5004592 7506888 10009184 15013776 20018368 30027552 60055104