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11941920 = 253258293
BaseRepresentation
bin101101100011…
…100000100000
3211110201020100
4231203200200
511024120140
61103542400
7203335044
oct55434040
924421210
1011941920
116817161
123bbaa00
132621733
14182c024
1510ad530
hexb63820

11941920 has 72 divisors (see below), whose sum is σ = 40756716. Its totient is φ = 3184128.

The previous prime is 11941883. The next prime is 11941921. The reversal of 11941920 is 2914911.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 571536 = 3372^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11941921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2707 + ... + 5586.

Almost surely, 211941920 is an apocalyptic number.

11941920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11941920 is an abundant number, since it is smaller than the sum of its proper divisors (28814796).

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

11941920 is a wasteful number, since it uses less digits than its factorization.

11941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8303 counting only the distinct ones).

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

The square root of 11941920 is about 3455.7083210248. The cubic root of 11941920 is about 228.5728898716.

The spelling of 11941920 in words is "eleven million, nine hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8293 16586 24879 33172 41465 49758 66344 74637 82930 99516 124395 132688 149274 165860 199032 248790 265376 298548 331720 373185 398064 497580 597096 663440 746370 796128 995160 1194192 1326880 1492740 1990320 2388384 2985480 3980640 5970960 11941920