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11938032 = 243282903
BaseRepresentation
bin101101100010…
…100011110000
3211110111220100
4231202203300
511024004112
61103512400
7203320521
oct55424360
924414810
1011938032
116814247
123bb8700
13261ca32
14182a848
1510ac2dc
hexb628f0

11938032 has 30 divisors (see below), whose sum is σ = 33410312. Its totient is φ = 3979296.

The previous prime is 11938027. The next prime is 11938033. The reversal of 11938032 is 23083911.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11937987 and 11938005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11938033) 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 5 ways as a sum of consecutive naturals, for example, 41308 + ... + 41595.

Almost surely, 211938032 is an apocalyptic number.

11938032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11938032 is an abundant number, since it is smaller than the sum of its proper divisors (21472280).

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

11938032 is a wasteful number, since it uses less digits than its factorization.

11938032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82917 (or 82908 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11938032 is about 3455.1457277516. The cubic root of 11938032 is about 228.5480812462.

The spelling of 11938032 in words is "eleven million, nine hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 82903 165806 248709 331612 497418 663224 746127 994836 1326448 1492254 1989672 2984508 3979344 5969016 11938032