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104265040 = 245111091087
BaseRepresentation
bin1100011011011…
…11010101010000
321021012012202011
412031233111100
5203142440130
614202432304
72404144465
oct615572520
9237165664
10104265040
1153944960
122ab02694
13187a7bb9
14dbc166c
15924852a
hex636f550

104265040 has 80 divisors (see below), whose sum is σ = 267125760. Its totient is φ = 37532160.

The previous prime is 104265037. The next prime is 104265041. The reversal of 104265040 is 40562401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104265041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95377 + ... + 96463.

It is an arithmetic number, because the mean of its divisors is an integer number (3339072).

Almost surely, 2104265040 is an apocalyptic number.

104265040 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 104265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562880).

104265040 is an abundant number, since it is smaller than the sum of its proper divisors (162860720).

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

104265040 is a wasteful number, since it uses less digits than its factorization.

104265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 104265040 is about 10211.0254137378. The cubic root of 104265040 is about 470.6660844002. Note that the first 3 decimals are identical.

The spelling of 104265040 in words is "one hundred four million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 1087 1090 1199 1744 2174 2180 2398 4348 4360 4796 5435 5995 8696 8720 9592 10870 11957 11990 17392 19184 21740 23914 23980 43480 47828 47960 59785 86960 95656 95920 118483 119570 191312 236966 239140 473932 478280 592415 947864 956560 1184830 1303313 1895728 2369660 2606626 4739320 5213252 6516565 9478640 10426504 13033130 20853008 26066260 52132520 104265040