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104929000 = 2353119539
BaseRepresentation
bin1100100000100…
…01011011101000
321022102221112021
412100101123220
5203330212000
614224554224
72412611311
oct620213350
9238387467
10104929000
1154258790
122b182974
131897b187
14dd15608
15932a11a
hex64116e8

104929000 has 64 divisors (see below), whose sum is σ = 267883200. Its totient is φ = 38152000.

The previous prime is 104928991. The next prime is 104929007. The reversal of 104929000 is 929401.

It is a super-2 number, since 2×1049290002 = 22020190082000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (104929007) 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 15 ways as a sum of consecutive naturals, for example, 6231 + ... + 15769.

It is an arithmetic number, because the mean of its divisors is an integer number (4185675).

Almost surely, 2104929000 is an apocalyptic number.

104929000 is a gapful number since it is divisible by the number (10) 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 104929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133941600).

104929000 is an abundant number, since it is smaller than the sum of its proper divisors (162954200).

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

104929000 is a wasteful number, since it uses less digits than its factorization.

104929000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 104929000 is about 10243.4857348463. The cubic root of 104929000 is about 471.6630387304.

The spelling of 104929000 in words is "one hundred four million, nine hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 9539 11000 19078 38156 47695 76312 95390 104929 190780 209858 238475 381560 419716 476950 524645 839432 953900 1049290 1192375 1907800 2098580 2384750 2623225 4197160 4769500 5246450 9539000 10492900 13116125 20985800 26232250 52464500 104929000