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12532680 = 23325311123
BaseRepresentation
bin101111110011…
…101111001000
3212120201121100
4233303233020
511202021210
61124341400
7211345266
oct57635710
925521540
1012532680
11708aa96
124244860
13279a5b4
141943436
1511785c0
hexbf3bc8

12532680 has 96 divisors (see below), whose sum is σ = 42082560. Its totient is φ = 3231360.

The previous prime is 12532673. The next prime is 12532687. The reversal of 12532680 is 8623521.

It is an interprime number because it is at equal distance from previous prime (12532673) and next prime (12532687).

It is not an unprimeable number, because it can be changed into a prime (12532687) 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, 10599 + ... + 11721.

It is an arithmetic number, because the mean of its divisors is an integer number (438360).

Almost surely, 212532680 is an apocalyptic number.

12532680 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 12532680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041280).

12532680 is an abundant number, since it is smaller than the sum of its proper divisors (29549880).

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

12532680 is a wasteful number, since it uses less digits than its factorization.

12532680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12532680 is about 3540.1525390864. The cubic root of 12532680 is about 232.2815151799.

The spelling of 12532680 in words is "twelve million, five hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1123 1240 1395 1860 2232 2246 2790 3369 3720 4492 5580 5615 6738 8984 10107 11160 11230 13476 16845 20214 22460 26952 33690 34813 40428 44920 50535 67380 69626 80856 101070 104439 134760 139252 174065 202140 208878 278504 313317 348130 404280 417756 522195 626634 696260 835512 1044390 1253268 1392520 1566585 2088780 2506536 3133170 4177560 6266340 12532680