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104058840 = 23351038419
BaseRepresentation
bin1100011001111…
…00111111011000
321020210201220010
412030330333120
5203114340330
614154201520
72402325354
oct614747730
9236721803
10104058840
1153813a46
122aa232a0
13187350a2
14db6a464
1592073b0
hex633cfd8

104058840 has 64 divisors (see below), whose sum is σ = 315244800. Its totient is φ = 27476352.

The previous prime is 104058833. The next prime is 104058859. The reversal of 104058840 is 48850401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104058798 and 104058807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8151 + ... + 16569.

It is an arithmetic number, because the mean of its divisors is an integer number (4925700).

Almost surely, 2104058840 is an apocalyptic number.

104058840 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 104058840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157622400).

104058840 is an abundant number, since it is smaller than the sum of its proper divisors (211185960).

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

104058840 is a wasteful number, since it uses less digits than its factorization.

104058840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 104058840 is about 10200.9234876064. The cubic root of 104058840 is about 470.3556083450.

The spelling of 104058840 in words is "one hundred four million, fifty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 8419 12360 16838 25257 33676 42095 50514 67352 84190 101028 126285 168380 202056 252570 336760 505140 867157 1010280 1734314 2601471 3468628 4335785 5202942 6937256 8671570 10405884 13007355 17343140 20811768 26014710 34686280 52029420 104058840