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104164176 = 2433789659
BaseRepresentation
bin1100011010101…
…10101101010000
321021000002101110
412031112231100
5203131223201
614200333320
72403244434
oct615265520
9237002343
10104164176
11538860a6
122aa74240
131877100c
14db969c4
1592286d6
hex6356b50

104164176 has 80 divisors (see below), whose sum is σ = 279892800. Its totient is φ = 33352704.

The previous prime is 104164157. The next prime is 104164187. The reversal of 104164176 is 671461401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157735 + ... + 158393.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2104164176 is an apocalyptic number.

104164176 is a gapful number since it is divisible by the number (16) 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 104164176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139946400).

104164176 is an abundant number, since it is smaller than the sum of its proper divisors (175728624).

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

104164176 is a wasteful number, since it uses less digits than its factorization.

104164176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 104164176 is about 10206.0852436181. The cubic root of 104164176 is about 470.5142643193.

The spelling of 104164176 in words is "one hundred four million, one hundred sixty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 89 111 148 178 222 267 296 356 444 534 592 659 712 888 1068 1318 1424 1776 1977 2136 2636 3293 3954 4272 5272 6586 7908 9879 10544 13172 15816 19758 24383 26344 31632 39516 48766 52688 58651 73149 79032 97532 117302 146298 158064 175953 195064 234604 292596 351906 390128 469208 585192 703812 938416 1170384 1407624 2170087 2815248 4340174 6510261 8680348 13020522 17360696 26041044 34721392 52082088 104164176