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104114664 = 23321785061
BaseRepresentation
bin1100011010010…
…10100111101000
321020220120110200
412031022213220
5203123132124
614155312200
72402650203
oct615124750
9236816420
10104114664
1153851985
122aa4b660
1318754614
14db8293a
159218bc9
hex634a9e8

104114664 has 48 divisors (see below), whose sum is σ = 298567620. Its totient is φ = 32663040.

The previous prime is 104114663. The next prime is 104114671. The reversal of 104114664 is 466411401.

It can be written as a sum of positive squares in 2 ways, for example, as 85710564 + 18404100 = 9258^2 + 4290^2 .

It is not an unprimeable number, because it can be changed into a prime (104114663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41307 + ... + 43754.

Almost surely, 2104114664 is an apocalyptic number.

It is an amenable number.

104114664 is an abundant number, since it is smaller than the sum of its proper divisors (194452956).

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

104114664 is a wasteful number, since it uses less digits than its factorization.

104114664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85090 (or 85083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104114664 is about 10203.6593435885. The cubic root of 104114664 is about 470.4397031947.

The spelling of 104114664 in words is "one hundred four million, one hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 85061 170122 255183 340244 510366 680488 765549 1020732 1446037 1531098 2041464 2892074 3062196 4338111 5784148 6124392 8676222 11568296 13014333 17352444 26028666 34704888 52057332 104114664