Search a number
-
+
12632496 = 24317113137
BaseRepresentation
bin110000001100…
…000110110000
3212202210112020
4300030012300
511213214441
61130431440
7212242302
oct60140660
925683466
1012632496
117148a88
124292580
132803b66
14196b972
151197e66
hexc0c1b0

12632496 has 80 divisors (see below), whose sum is σ = 35113824. Its totient is φ = 3899392.

The previous prime is 12632491. The next prime is 12632537. The reversal of 12632496 is 69423621.

It is not an unprimeable number, because it can be changed into a prime (12632491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92140 + ... + 92276.

Almost surely, 212632496 is an apocalyptic number.

12632496 is a gapful number since it is divisible by the number (16) 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 12632496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556912).

12632496 is an abundant number, since it is smaller than the sum of its proper divisors (22481328).

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

12632496 is a wasteful number, since it uses less digits than its factorization.

12632496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 12632496 is about 3554.2222777986. Note that the first 4 decimals coincide. The cubic root of 12632496 is about 232.8965506860.

It can be divided in two parts, 1263249 and 6, that added together give a triangular number (1263255 = T1589).

The spelling of 12632496 in words is "twelve million, six hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 137 204 226 272 274 339 408 411 452 548 678 816 822 904 1096 1356 1644 1808 1921 2192 2329 2712 3288 3842 4658 5424 5763 6576 6987 7684 9316 11526 13974 15368 15481 18632 23052 27948 30736 30962 37264 46104 46443 55896 61924 92208 92886 111792 123848 185772 247696 263177 371544 526354 743088 789531 1052708 1579062 2105416 3158124 4210832 6316248 12632496