Search a number
-
+
104569992 = 233217372309
BaseRepresentation
bin1100011101110…
…01110010001000
321021202201001200
412032321302020
5203232214432
614213144200
72406554532
oct616716210
9237681050
10104569992
1154032a8a
122b02b060
1318883947
14dc60852
1592a8a7c
hex63b9c88

104569992 has 96 divisors (see below), whose sum is σ = 308107800. Its totient is φ = 31905792.

The previous prime is 104569981. The next prime is 104570003. The reversal of 104569992 is 299965401.

It is an interprime number because it is at equal distance from previous prime (104569981) and next prime (104570003).

It can be written as a sum of positive squares in 4 ways, for example, as 101727396 + 2842596 = 10086^2 + 1686^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44134 + ... + 46442.

Almost surely, 2104569992 is an apocalyptic number.

104569992 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 104569992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154053900).

104569992 is an abundant number, since it is smaller than the sum of its proper divisors (203537808).

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

104569992 is a wasteful number, since it uses less digits than its factorization.

104569992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 104569992 is about 10225.9469977113. The cubic root of 104569992 is about 471.1245022267.

The spelling of 104569992 in words is "one hundred four million, five hundred sixty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 296 306 333 408 444 612 629 666 888 1224 1258 1332 1887 2309 2516 2664 3774 4618 5032 5661 6927 7548 9236 11322 13854 15096 18472 20781 22644 27708 39253 41562 45288 55416 78506 83124 85433 117759 157012 166248 170866 235518 256299 314024 341732 353277 471036 512598 683464 706554 768897 942072 1025196 1413108 1452361 1537794 2050392 2826216 2904722 3075588 4357083 5809444 6151176 8714166 11618888 13071249 17428332 26142498 34856664 52284996 104569992