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104262672 = 24331411709
BaseRepresentation
bin1100011011011…
…10110000010000
321021012002111110
412031232300100
5203142401142
614202413320
72404134543
oct615566020
9237162443
10104262672
11539430a8
122ab01240
13187a6ab7
14dbc085a
15924799c
hex636ec10

104262672 has 80 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 32793600.

The previous prime is 104262637. The next prime is 104262673. The reversal of 104262672 is 276262401.

It is not an unprimeable number, because it can be changed into a prime (104262673) 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, 60154 + ... + 61862.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2104262672 is an apocalyptic number.

104262672 is a gapful number since it is divisible by the number (12) 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 104262672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

104262672 is an abundant number, since it is smaller than the sum of its proper divisors (180719088).

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

104262672 is a wasteful number, since it uses less digits than its factorization.

104262672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 104262672 is about 10210.9094599845. The cubic root of 104262672 is about 470.6625212189.

The spelling of 104262672 in words is "one hundred four million, two hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1709 1968 2542 3418 3813 5084 5127 6836 7626 10168 10254 13672 15252 20336 20508 27344 30504 41016 52979 61008 70069 82032 105958 140138 158937 210207 211916 280276 317874 420414 423832 560552 635748 840828 847664 1121104 1271496 1681656 2172139 2542992 3363312 4344278 6516417 8688556 13032834 17377112 26065668 34754224 52131336 104262672