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78115104 = 253430137
BaseRepresentation
bin1001010011111…
…11000100100000
312102222122210000
410221333010200
5124444140404
611430140000
71635652554
oct451770440
9172878700
1078115104
1140104041
12221b1600
1313250472
14a535864
156cd0339
hex4a7f120

78115104 has 60 divisors (see below), whose sum is σ = 229741974. Its totient is φ = 26037504.

The previous prime is 78115091. The next prime is 78115111. The reversal of 78115104 is 40151187.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 1587600 = 8748^2 + 1260^2 .

It is a super-2 number, since 2×781151042 = 12203938945861632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12477 + ... + 17660.

Almost surely, 278115104 is an apocalyptic number.

It is an amenable number.

78115104 is an abundant number, since it is smaller than the sum of its proper divisors (151626870).

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

78115104 is a wasteful number, since it uses less digits than its factorization.

78115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30159 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 78115104 is about 8838.2749448068. The cubic root of 78115104 is about 427.4759358569.

The spelling of 78115104 in words is "seventy-eight million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 30137 60274 90411 120548 180822 241096 271233 361644 482192 542466 723288 813699 964384 1084932 1446576 1627398 2169864 2441097 2893152 3254796 4339728 4882194 6509592 8679456 9764388 13019184 19528776 26038368 39057552 78115104