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12809232 = 2433149199
BaseRepresentation
bin110000110111…
…010000010000
3220002202222000
4300313100100
511234343412
61134314000
7213606462
oct60672020
926082860
1012809232
117259847
124358900
132866437
1419b6132
1511d04dc
hexc37410

12809232 has 80 divisors (see below), whose sum is σ = 37200000. Its totient is φ = 4219776.

The previous prime is 12809221. The next prime is 12809281. The reversal of 12809232 is 23290821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12809196 and 12809205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64269 + ... + 64467.

It is an arithmetic number, because the mean of its divisors is an integer number (465000).

Almost surely, 212809232 is an apocalyptic number.

12809232 is a gapful number since it is divisible by the number (12) 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 12809232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600000).

12809232 is an abundant number, since it is smaller than the sum of its proper divisors (24390768).

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

12809232 is a wasteful number, since it uses less digits than its factorization.

12809232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12809232 is about 3578.9987426653. The cubic root of 12809232 is about 233.9776441496.

It can be divided in two parts, 12809 and 232, that added together give a triangular number (13041 = T161).

The spelling of 12809232 in words is "twelve million, eight hundred nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 199 216 298 398 432 447 596 597 796 894 1192 1194 1341 1592 1788 1791 2384 2388 2682 3184 3576 3582 4023 4776 5364 5373 7152 7164 8046 9552 10728 10746 14328 16092 21456 21492 28656 29651 32184 42984 59302 64368 85968 88953 118604 177906 237208 266859 355812 474416 533718 711624 800577 1067436 1423248 1601154 2134872 3202308 4269744 6404616 12809232