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12869120 = 29511457
BaseRepresentation
bin110001000101…
…111000000000
3220012211010002
4301011320000
511243302440
61135455132
7214246205
oct61057000
926184102
1012869120
11729a840
1243874a8
132887784
1419cdcac
1511e3115
hexc45e00

12869120 has 80 divisors (see below), whose sum is σ = 33734448. Its totient is φ = 4669440.

The previous prime is 12869111. The next prime is 12869141. The reversal of 12869120 is 2196821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×128691202 = 331228499148800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27932 + ... + 28388.

Almost surely, 212869120 is an apocalyptic number.

12869120 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 12869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867224).

12869120 is an abundant number, since it is smaller than the sum of its proper divisors (20865328).

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

12869120 is an equidigital number, since it uses as much as digits as its factorization.

12869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 12869120 is about 3587.3555720057. The cubic root of 12869120 is about 234.3417219715.

The spelling of 12869120 in words is "twelve million, eight hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 457 512 640 704 880 914 1280 1408 1760 1828 2285 2560 2816 3520 3656 4570 5027 5632 7040 7312 9140 10054 14080 14624 18280 20108 25135 28160 29248 36560 40216 50270 58496 73120 80432 100540 116992 146240 160864 201080 233984 292480 321728 402160 584960 643456 804320 1169920 1286912 1608640 2573824 3217280 6434560 12869120