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60399104 = 29232223
BaseRepresentation
bin1110011001100…
…1111000000000
311012122120222212
43212121320000
5110430232404
65554321252
71332245453
oct346317000
9135576885
1060399104
1131103817
1218289228
13c68981c
14804349a
15548106e
hex3999e00

60399104 has 60 divisors (see below), whose sum is σ = 126721056. Its totient is φ = 28756992.

The previous prime is 60399103. The next prime is 60399107. The reversal of 60399104 is 40199306.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60399103) 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 5 ways as a sum of consecutive naturals, for example, 270737 + ... + 270959.

Almost surely, 260399104 is an apocalyptic number.

60399104 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 60399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360528).

60399104 is an abundant number, since it is smaller than the sum of its proper divisors (66321952).

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

60399104 is an equidigital number, since it uses as much as digits as its factorization.

60399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 60399104 is about 7771.6860461550. The cubic root of 60399104 is about 392.3528684339.

The spelling of 60399104 in words is "sixty million, three hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 223 256 368 446 512 529 736 892 1058 1472 1784 2116 2944 3568 4232 5129 5888 7136 8464 10258 11776 14272 16928 20516 28544 33856 41032 57088 67712 82064 114176 117967 135424 164128 235934 270848 328256 471868 656512 943736 1313024 1887472 2626048 3774944 7549888 15099776 30199552 60399104