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12929140 = 2257279167
BaseRepresentation
bin110001010100…
…100001110100
3220022212110001
4301110201310
511302213030
61141041044
7214616200
oct61244164
926285401
1012929140
117330944
1243b6184
1328a8ba3
141a07b00
151205cca
hexc54874

12929140 has 72 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4350528.

The previous prime is 12929117. The next prime is 12929141. The reversal of 12929140 is 4192921.

It is a happy number.

It is a super-2 number, since 2×129291402 = 334325322279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12929099 and 12929108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12929141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77337 + ... + 77503.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 212929140 is an apocalyptic number.

12929140 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 12929140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12929140 is an abundant number, since it is smaller than the sum of its proper divisors (19246220).

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

12929140 is a wasteful number, since it uses less digits than its factorization.

12929140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 12929140 is about 3595.7113343537. The cubic root of 12929140 is about 234.7054707625.

The spelling of 12929140 in words is "twelve million, nine hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 167 196 245 316 334 395 490 553 668 790 835 980 1106 1169 1580 1670 2212 2338 2765 3340 3871 4676 5530 5845 7742 8183 11060 11690 13193 15484 16366 19355 23380 26386 32732 38710 40915 52772 65965 77420 81830 92351 131930 163660 184702 263860 369404 461755 646457 923510 1292914 1847020 2585828 3232285 6464570 12929140