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104152716 = 2235831291
BaseRepresentation
bin1100011010100…
…11111010001100
321020222111200000
412031103322030
5203130341331
614200204300
72403166143
oct615237214
9236874600
10104152716
1153878528
122aa69690
1318768a35
14db9275a
1592250e6
hex6353e8c

104152716 has 72 divisors (see below), whose sum is σ = 276529344. Its totient is φ = 34272720.

The previous prime is 104152709. The next prime is 104152733. The reversal of 104152716 is 617251401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104152716.

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, 80031 + ... + 81321.

Almost surely, 2104152716 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 104152716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138264672).

104152716 is an abundant number, since it is smaller than the sum of its proper divisors (172376628).

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

104152716 is a wasteful number, since it uses less digits than its factorization.

104152716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 104152716 is about 10205.5237984143. The cubic root of 104152716 is about 470.4970085748.

It can be divided in two parts, 10415 and 2716, that added together give a palindrome (13131).

The spelling of 104152716 in words is "one hundred four million, one hundred fifty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 243 249 324 332 486 498 747 972 996 1291 1494 2241 2582 2988 3873 4482 5164 6723 7746 8964 11619 13446 15492 20169 23238 26892 34857 40338 46476 69714 80676 104571 107153 139428 209142 214306 313713 321459 418284 428612 627426 642918 964377 1254852 1285836 1928754 2893131 3857508 5786262 8679393 11572524 17358786 26038179 34717572 52076358 104152716