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104383840 = 25511127467
BaseRepresentation
bin1100011100011…
…00010101100000
321021102020201011
412032030111200
5203210240330
614205150304
72405151031
oct616142540
9237366634
10104383840
1153a16140
122ab5b394
1318819cb2
14dc12a88
15926d82a
hex638c560

104383840 has 96 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 37578240.

The previous prime is 104383837. The next prime is 104383843. The reversal of 104383840 is 48383401.

It is an interprime number because it is at equal distance from previous prime (104383837) and next prime (104383843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104383843) 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, 223287 + ... + 223753.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2104383840 is an apocalyptic number.

104383840 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 104383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

104383840 is an abundant number, since it is smaller than the sum of its proper divisors (167340704).

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

104383840 is a wasteful number, since it uses less digits than its factorization.

104383840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 104383840 is about 10216.8409990564. The cubic root of 104383840 is about 470.8447761509.

The spelling of 104383840 in words is "one hundred four million, three hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 127 160 176 220 254 352 440 467 508 635 880 934 1016 1270 1397 1760 1868 2032 2335 2540 2794 3736 4064 4670 5080 5137 5588 6985 7472 9340 10160 10274 11176 13970 14944 18680 20320 20548 22352 25685 27940 37360 41096 44704 51370 55880 59309 74720 82192 102740 111760 118618 164384 205480 223520 237236 296545 410960 474472 593090 652399 821920 948944 1186180 1304798 1897888 2372360 2609596 3261995 4744720 5219192 6523990 9489440 10438384 13047980 20876768 26095960 52191920 104383840