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12639420 = 22325234371
BaseRepresentation
bin110000001101…
…110010111100
3212210011000200
4300031302330
511213430140
61130523500
7212301423
oct60156274
925704020
1012639420
117153202
124296590
132807061
1419702ba
15119a030
hexc0dcbc

12639420 has 144 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 3104640.

The previous prime is 12639379. The next prime is 12639433. The reversal of 12639420 is 2493621.

12639420 is a `hidden beast` number, since 1 + 2 + 639 + 4 + 20 = 666.

12639420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177985 + ... + 178055.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 212639420 is an apocalyptic number.

12639420 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 12639420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

12639420 is an abundant number, since it is smaller than the sum of its proper divisors (28874052).

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

12639420 is a wasteful number, since it uses less digits than its factorization.

12639420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12639420 is about 3555.1961971177. The cubic root of 12639420 is about 232.9390939064.

The spelling of 12639420 in words is "twelve million, six hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 43 45 46 60 69 71 86 90 92 115 129 138 142 172 180 207 213 215 230 258 276 284 345 355 387 414 426 430 460 516 639 645 690 710 774 828 852 860 989 1035 1065 1278 1290 1380 1420 1548 1633 1935 1978 2070 2130 2556 2580 2967 3053 3195 3266 3870 3956 4140 4260 4899 4945 5934 6106 6390 6532 7740 8165 8901 9159 9798 9890 11868 12212 12780 14697 14835 15265 16330 17802 18318 19596 19780 24495 27477 29394 29670 30530 32660 35604 36636 44505 45795 48990 54954 58788 59340 61060 70219 73485 89010 91590 97980 109908 137385 140438 146970 178020 183180 210657 274770 280876 293940 351095 421314 549540 631971 702190 842628 1053285 1263942 1404380 2106570 2527884 3159855 4213140 6319710 12639420