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11940912 = 2433131211
BaseRepresentation
bin101101100011…
…010000110000
3211110122212000
4231203100300
511024102122
61103534000
7203332104
oct55432060
924418760
1011940912
116816425
123bba300
132621139
14182b904
1510ad0ac
hexb63430

11940912 has 80 divisors (see below), whose sum is σ = 34700160. Its totient is φ = 3931200.

The previous prime is 11940883. The next prime is 11940913. The reversal of 11940912 is 21904911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11940913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56487 + ... + 56697.

It is an arithmetic number, because the mean of its divisors is an integer number (433752).

Almost surely, 211940912 is an apocalyptic number.

11940912 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 11940912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350080).

11940912 is an abundant number, since it is smaller than the sum of its proper divisors (22759248).

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

11940912 is a wasteful number, since it uses less digits than its factorization.

11940912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11940912 is about 3455.5624723046. The cubic root of 11940912 is about 228.5664585229.

The spelling of 11940912 in words is "eleven million, nine hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 211 216 262 393 422 432 524 633 786 844 1048 1179 1266 1572 1688 1899 2096 2358 2532 3144 3376 3537 3798 4716 5064 5697 6288 7074 7596 9432 10128 11394 14148 15192 18864 22788 27641 28296 30384 45576 55282 56592 82923 91152 110564 165846 221128 248769 331692 442256 497538 663384 746307 995076 1326768 1492614 1990152 2985228 3980304 5970456 11940912