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11938992 = 2431319253
BaseRepresentation
bin101101100010…
…110010110000
3211110120012220
4231202302300
511024021432
61103521040
7203323362
oct55426260
924416186
1011938992
116814a3a
123bb9180
1326202c0
14182ad32
1510ac72c
hexb62cb0

11938992 has 120 divisors (see below), whose sum is σ = 35716464. Its totient is φ = 3414528.

The previous prime is 11938991. The next prime is 11939003. The reversal of 11938992 is 29983911.

It is not an unprimeable number, because it can be changed into a prime (11938991) 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 23 ways as a sum of consecutive naturals, for example, 225238 + ... + 225290.

Almost surely, 211938992 is an apocalyptic number.

11938992 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 11938992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858232).

11938992 is an abundant number, since it is smaller than the sum of its proper divisors (23777472).

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

11938992 is a wasteful number, since it uses less digits than its factorization.

11938992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 11938992 is about 3455.2846481875. The cubic root of 11938992 is about 228.5542073335.

The spelling of 11938992 in words is "eleven million, nine hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 53 57 76 78 104 106 114 152 156 159 208 212 228 247 304 312 318 361 424 456 494 624 636 689 722 741 848 912 988 1007 1083 1272 1378 1444 1482 1976 2014 2067 2166 2544 2756 2888 2964 3021 3952 4028 4134 4332 4693 5512 5776 5928 6042 8056 8268 8664 9386 11024 11856 12084 13091 14079 16112 16536 17328 18772 19133 24168 26182 28158 33072 37544 38266 39273 48336 52364 56316 57399 75088 76532 78546 104728 112632 114798 153064 157092 209456 225264 229596 248729 306128 314184 459192 497458 628368 746187 918384 994916 1492374 1989832 2984748 3979664 5969496 11938992