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11982920 = 2351915767
BaseRepresentation
bin101101101101…
…100001001000
3211112210110212
4231231201020
511031423140
61104500252
7203565425
oct55554110
924483425
1011982920
116844a44
12401a688
1326372b1
14183cd4c
1510ba765
hexb6d848

11982920 has 32 divisors (see below), whose sum is σ = 28382400. Its totient is φ = 4540608.

The previous prime is 11982913. The next prime is 11982941. The reversal of 11982920 is 2928911.

It is a happy number.

It is a nialpdrome in base 8.

It is a congruent number.

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, 7124 + ... + 8643.

It is an arithmetic number, because the mean of its divisors is an integer number (886950).

Almost surely, 211982920 is an apocalyptic number.

11982920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11982920 is an abundant number, since it is smaller than the sum of its proper divisors (16399480).

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

11982920 is a wasteful number, since it uses less digits than its factorization.

11982920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15797 (or 15793 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 11982920 is about 3461.6354516327. The cubic root of 11982920 is about 228.8341762728.

The spelling of 11982920 in words is "eleven million, nine hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 15767 31534 63068 78835 126136 157670 299573 315340 599146 630680 1198292 1497865 2396584 2995730 5991460 11982920