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104149692 = 22336115809
BaseRepresentation
bin1100011010100…
…11001010111100
321020222100112000
412031103022330
5203130242232
614200142300
72403154263
oct615231274
9236870460
10104149692
1153876229
122aa67990
131876754a
14db915da
15922427c
hex63532bc

104149692 has 48 divisors (see below), whose sum is σ = 274461600. Its totient is φ = 34145280.

The previous prime is 104149679. The next prime is 104149723. The reversal of 104149692 is 296941401.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317 + ... + 14492.

It is an arithmetic number, because the mean of its divisors is an integer number (5717950).

Almost surely, 2104149692 is an apocalyptic number.

104149692 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 104149692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137230800).

104149692 is an abundant number, since it is smaller than the sum of its proper divisors (170311908).

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

104149692 is a wasteful number, since it uses less digits than its factorization.

104149692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15883 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 104149692 is about 10205.3756422779. The cubic root of 104149692 is about 470.4924550154.

The spelling of 104149692 in words is "one hundred four million, one hundred forty-nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 15809 31618 47427 63236 94854 142281 189708 284562 426843 569124 853686 964349 1707372 1928698 2893047 3857396 5786094 8679141 11572188 17358282 26037423 34716564 52074846 104149692