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104116672 = 2611712083
BaseRepresentation
bin1100011010010…
…11000111000000
321020220200020001
412031023013000
5203123213142
614155325344
72402656102
oct615130700
9236820201
10104116672
1153853440
122aa50854
13187554ca
14db83572
1592195b7
hex634b1c0

104116672 has 56 divisors (see below), whose sum is σ = 228673152. Its totient is φ = 46636800.

The previous prime is 104116657. The next prime is 104116673. The reversal of 104116672 is 276611401.

It is a self number, because there is not a number n which added to its sum of digits gives 104116672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104116673) 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 7 ways as a sum of consecutive naturals, for example, 48943 + ... + 51025.

Almost surely, 2104116672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114336576).

104116672 is an abundant number, since it is smaller than the sum of its proper divisors (124556480).

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

104116672 is a wasteful number, since it uses less digits than its factorization.

104116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 104116672 is about 10203.7577391861. The cubic root of 104116672 is about 470.4427275425.

The spelling of 104116672 in words is "one hundred four million, one hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 568 704 781 1136 1562 2083 2272 3124 4166 4544 6248 8332 12496 16664 22913 24992 33328 45826 49984 66656 91652 133312 147893 183304 295786 366608 591572 733216 1183144 1466432 1626823 2366288 3253646 4732576 6507292 9465152 13014584 26029168 52058336 104116672