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104752368 = 24327176113
BaseRepresentation
bin1100011111001…
…10010011110000
321022002222020100
412033212103300
5203304033433
614221112400
72411244330
oct617462360
9238088210
10104752368
1154148006
122b0b8700
1318918966
14dcab0c0
1592e2b13
hex63e64f0

104752368 has 120 divisors (see below), whose sum is σ = 354807648. Its totient is φ = 28164096.

The previous prime is 104752367. The next prime is 104752399. The reversal of 104752368 is 863257401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104752363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14080 + ... + 20192.

Almost surely, 2104752368 is an apocalyptic number.

104752368 is a gapful number since it is divisible by the number (18) 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 104752368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177403824).

104752368 is an abundant number, since it is smaller than the sum of its proper divisors (250055280).

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

104752368 is a wasteful number, since it uses less digits than its factorization.

104752368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104752368 is about 10234.8604289458. The cubic root of 104752368 is about 471.3982324435.

The spelling of 104752368 in words is "one hundred four million, seven hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 6113 8568 12226 17136 18339 24452 36678 42791 48904 55017 73356 85582 97808 103921 110034 128373 146712 171164 207842 220068 256746 293424 311763 342328 385119 415684 440136 513492 623526 684656 727447 770238 831368 880272 935289 1026984 1247052 1454894 1540476 1662736 1870578 2053968 2182341 2494104 2909788 3080952 3741156 4364682 4988208 5819576 6161904 6547023 7482312 8729364 11639152 13094046 14964624 17458728 26188092 34917456 52376184 104752368