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104605992 = 23341091481
BaseRepresentation
bin1100011110000…
…10100100101000
321021211112110000
412033002210220
5203234342432
614214023000
72410064511
oct617024450
9237745400
10104605992
1154058037
122b047a60
131889714a
14dc6da08
1592b457c
hex63c2928

104605992 has 80 divisors (see below), whose sum is σ = 295881300. Its totient is φ = 34525440.

The previous prime is 104605967. The next prime is 104605999. The reversal of 104605992 is 299506401.

104605992 is a `hidden beast` number, since 1 + 0 + 4 + 60 + 599 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 443556 = 10206^2 + 666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (104605999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69892 + ... + 71372.

Almost surely, 2104605992 is an apocalyptic number.

104605992 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 104605992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147940650).

104605992 is an abundant number, since it is smaller than the sum of its proper divisors (191275308).

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

104605992 is a wasteful number, since it uses less digits than its factorization.

104605992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 104605992 is about 10227.7070744131. The cubic root of 104605992 is about 471.1785602339.

The spelling of 104605992 in words is "one hundred four million, six hundred five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1481 1962 2616 2943 2962 3924 4443 5886 5924 7848 8829 8886 11772 11848 13329 17658 17772 23544 26658 35316 35544 39987 53316 70632 79974 106632 119961 159948 161429 239922 319896 322858 479844 484287 645716 959688 968574 1291432 1452861 1937148 2905722 3874296 4358583 5811444 8717166 11622888 13075749 17434332 26151498 34868664 52302996 104605992