Search a number
-
+
12932480 = 275112167
BaseRepresentation
bin110001010101…
…010110000000
3220100001000202
4301111112000
511302314410
61141104332
7214632011
oct61252600
926301022
1012932480
117333400
1243b80a8
1328aa572
141a09008
151206ca5
hexc55580

12932480 has 96 divisors (see below), whose sum is σ = 34186320. Its totient is φ = 4674560.

The previous prime is 12932471. The next prime is 12932527. The reversal of 12932480 is 8423921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77357 + ... + 77523.

Almost surely, 212932480 is an apocalyptic number.

12932480 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 12932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160).

12932480 is an abundant number, since it is smaller than the sum of its proper divisors (21253840).

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

12932480 is a wasteful number, since it uses less digits than its factorization.

12932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 12932480 is about 3596.1757465396. The cubic root of 12932480 is about 234.7256796029.

It can be divided in two parts, 1293 and 2480, that added together give a palindrome (3773).

The spelling of 12932480 in words is "twelve million, nine hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 167 176 220 242 320 334 352 440 484 605 640 668 704 835 880 968 1210 1336 1408 1670 1760 1837 1936 2420 2672 3340 3520 3674 3872 4840 5344 6680 7040 7348 7744 9185 9680 10688 13360 14696 15488 18370 19360 20207 21376 26720 29392 36740 38720 40414 53440 58784 73480 77440 80828 101035 106880 117568 146960 161656 202070 235136 293920 323312 404140 587840 646624 808280 1175680 1293248 1616560 2586496 3233120 6466240 12932480