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11939840 = 21251153
BaseRepresentation
bin101101100011…
…000000000000
3211110121101022
4231203000000
511024033330
61103525012
7203326013
oct55430000
924417338
1011939840
116815640
123bb9768
1326207c3
14182b37a
1510acae5
hexb63000

11939840 has 104 divisors (see below), whose sum is σ = 31846608. Its totient is φ = 4259840.

The previous prime is 11939821. The next prime is 11939843. The reversal of 11939840 is 4893911.

11939840 = 662 + 672 + ... + 3302.

It is a nialpdrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 11939840.

It is not an unprimeable number, because it can be changed into a prime (11939843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225254 + ... + 225306.

Almost surely, 211939840 is an apocalyptic number.

11939840 is a gapful number since it is divisible by the number (10) 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 11939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923304).

11939840 is an abundant number, since it is smaller than the sum of its proper divisors (19906768).

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

11939840 is an equidigital number, since it uses as much as digits as its factorization.

11939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 11939840 is about 3455.4073565934. The cubic root of 11939840 is about 228.5596184374.

The spelling of 11939840 in words is "eleven million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 128 160 176 212 220 256 265 320 352 424 440 512 530 583 640 704 848 880 1024 1060 1166 1280 1408 1696 1760 2048 2120 2332 2560 2816 2915 3392 3520 4096 4240 4664 5120 5632 5830 6784 7040 8480 9328 10240 11264 11660 13568 14080 16960 18656 20480 22528 23320 27136 28160 33920 37312 45056 46640 54272 56320 67840 74624 93280 108544 112640 135680 149248 186560 217088 225280 271360 298496 373120 542720 596992 746240 1085440 1193984 1492480 2387968 2984960 5969920 11939840