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104451516 = 223213832689
BaseRepresentation
bin1100011100111…
…00110110111100
321021112200112200
412032130312330
5203214422031
614210431500
72405552241
oct616346674
9237480480
10104451516
1153a61a74
122ab92590
1318841a40
14dc2d5c8
1592838e6
hex639cdbc

104451516 has 72 divisors (see below), whose sum is σ = 287873040. Its totient is φ = 31739904.

The previous prime is 104451497. The next prime is 104451517. The reversal of 104451516 is 615154401.

104451516 is a `hidden beast` number, since 104 + 45 + 1 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104451516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104451517) 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, 37500 + ... + 40188.

Almost surely, 2104451516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104451516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143936520).

104451516 is an abundant number, since it is smaller than the sum of its proper divisors (183421524).

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

104451516 is a wasteful number, since it uses less digits than its factorization.

104451516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 104451516 is about 10220.1524450470. The cubic root of 104451516 is about 470.9465096732.

The spelling of 104451516 in words is "one hundred four million, four hundred fifty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 996 1079 1494 2158 2689 2988 3237 4316 5378 6474 8067 9711 10756 12948 16134 19422 24201 32268 34957 38844 48402 69914 96804 104871 139828 209742 223187 314613 419484 446374 629226 669561 892748 1258452 1339122 2008683 2678244 2901431 4017366 5802862 8034732 8704293 11605724 17408586 26112879 34817172 52225758 104451516