Search a number
-
+
105990576 = 2434153857
BaseRepresentation
bin1100101000101…
…00100110110000
321101102212201220
412110110212300
5204113144301
614303425040
72424622266
oct624244660
9241385656
10105990576
115491331a
122b5b5180
1318c60423
1410110436
159489936
hex65149b0

105990576 has 40 divisors (see below), whose sum is σ = 280492464. Its totient is φ = 34467840.

The previous prime is 105990559. The next prime is 105990623. The reversal of 105990576 is 675099501.

It is a super-2 number, since 2×1059905762 = 22468004401623552, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24961 + ... + 28896.

Almost surely, 2105990576 is an apocalyptic number.

105990576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105990576 is an abundant number, since it is smaller than the sum of its proper divisors (174501888).

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

105990576 is a wasteful number, since it uses less digits than its factorization.

105990576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53909 (or 53903 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 105990576 is about 10295.1724609158. The cubic root of 105990576 is about 473.2483234668.

The spelling of 105990576 in words is "one hundred five million, nine hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 53857 107714 161571 215428 323142 430856 646284 861712 1292568 2208137 2585136 4416274 6624411 8832548 13248822 17665096 26497644 35330192 52995288 105990576