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104736366 = 23272932837
BaseRepresentation
bin1100011111000…
…10011001101110
321022002011021200
412033202121232
5203303030431
614220510330
72411146560
oct617423156
9238064250
10104736366
1154136a89
122b0ab3a6
13189115a7
14dca5330
1592dcee6
hex63e266e

104736366 has 48 divisors (see below), whose sum is σ = 260324064. Its totient is φ = 29812032.

The previous prime is 104736349. The next prime is 104736377. The reversal of 104736366 is 663637401.

It is a happy number.

104736366 is a `hidden beast` number, since 10 + 4 + 7 + 3 + 636 + 6 = 666.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 104736366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35500 + ... + 38336.

It is an arithmetic number, because the mean of its divisors is an integer number (5423418).

Almost surely, 2104736366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104736366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130162032).

104736366 is an abundant number, since it is smaller than the sum of its proper divisors (155587698).

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

104736366 is a wasteful number, since it uses less digits than its factorization.

104736366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 104736366 is about 10234.0786590684. The cubic root of 104736366 is about 471.3742275807.

The spelling of 104736366 in words is "one hundred four million, seven hundred thirty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 293 586 879 1758 2051 2637 2837 4102 5274 5674 6153 8511 12306 17022 18459 19859 25533 36918 39718 51066 59577 119154 178731 357462 831241 1662482 2493723 4987446 5818687 7481169 11637374 14962338 17456061 34912122 52368183 104736366