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12679470 = 2335151311
BaseRepresentation
bin110000010111…
…100100101110
3212212011222000
4300113210232
511221220340
61131433130
7212526246
oct60274456
925764860
1012679470
117180301
1242b57a6
13281c35b
141980b26
1511a6d30
hexc1792e

12679470 has 64 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 3348000.

The previous prime is 12679451. The next prime is 12679481. The reversal of 12679470 is 7497621.

It is a happy number.

12679470 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40615 + ... + 40925.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 212679470 is an apocalyptic number.

12679470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12679470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

12679470 is an abundant number, since it is smaller than the sum of its proper divisors (21465810).

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

12679470 is a wasteful number, since it uses less digits than its factorization.

12679470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 12679470 is about 3560.8243427611. The cubic root of 12679470 is about 233.1848692750.

The spelling of 12679470 in words is "twelve million, six hundred seventy-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 311 453 622 755 906 933 1359 1510 1555 1866 2265 2718 2799 3110 4077 4530 4665 5598 6795 8154 8397 9330 13590 13995 16794 20385 27990 40770 41985 46961 83970 93922 140883 234805 281766 422649 469610 704415 845298 1267947 1408830 2113245 2535894 4226490 6339735 12679470