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104040640 = 2651122687
BaseRepresentation
bin1100011001110…
…00100011000000
321020202210221001
412030320203000
5203113300030
614153541344
72402221324
oct614704300
9236683831
10104040640
1153801300
122aa14854
1318729a12
14db63984
159201cca
hex63388c0

104040640 has 84 divisors (see below), whose sum is σ = 272418048. Its totient is φ = 37818880.

The previous prime is 104040623. The next prime is 104040647. The reversal of 104040640 is 46040401.

It is not an unprimeable number, because it can be changed into a prime (104040647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37377 + ... + 40063.

It is an arithmetic number, because the mean of its divisors is an integer number (3243072).

Almost surely, 2104040640 is an apocalyptic number.

104040640 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 104040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136209024).

104040640 is an abundant number, since it is smaller than the sum of its proper divisors (168377408).

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

104040640 is a wasteful number, since it uses less digits than its factorization.

104040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 104040640 is about 10200.0313725008. The cubic root of 104040640 is about 470.3281848501.

It can be divided in two parts, 104040 and 640, that multiplied together give a square (66585600 = 81602).

The spelling of 104040640 in words is "one hundred four million, forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 2687 3520 3872 4840 5374 7744 9680 10748 13435 19360 21496 26870 29557 38720 42992 53740 59114 85984 107480 118228 147785 171968 214960 236456 295570 325127 429920 472912 591140 650254 859840 945824 1182280 1300508 1625635 1891648 2364560 2601016 3251270 4729120 5202032 6502540 9458240 10404064 13005080 20808128 26010160 52020320 104040640