Search a number
-
+
12910632 = 2337313767
BaseRepresentation
bin110001010000…
…000000101000
3220021221001120
4301100000220
511301120012
61140415240
7214511220
oct61200050
926257046
1012910632
117318a49
1243a7520
1328a0637
141a01080
15120058c
hexc50028

12910632 has 128 divisors (see below), whose sum is σ = 39690240. Its totient is φ = 3421440.

The previous prime is 12910591. The next prime is 12910643. The reversal of 12910632 is 23601921.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 192663 + ... + 192729.

It is an arithmetic number, because the mean of its divisors is an integer number (310080).

Almost surely, 212910632 is an apocalyptic number.

12910632 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 12910632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19845120).

12910632 is an abundant number, since it is smaller than the sum of its proper divisors (26779608).

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

12910632 is a wasteful number, since it uses less digits than its factorization.

12910632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12910632 is about 3593.1367911617. The cubic root of 12910632 is about 234.5934240403.

The spelling of 12910632 in words is "twelve million, nine hundred ten thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 62 67 74 84 93 111 124 134 148 168 186 201 217 222 248 259 268 296 372 402 434 444 469 518 536 651 744 777 804 868 888 938 1036 1147 1302 1407 1554 1608 1736 1876 2072 2077 2294 2479 2604 2814 3108 3441 3752 4154 4588 4958 5208 5628 6216 6231 6882 7437 8029 8308 9176 9916 11256 12462 13764 14539 14874 16058 16616 17353 19832 24087 24924 27528 29078 29748 32116 34706 43617 48174 49848 52059 58156 59496 64232 69412 76849 87234 96348 104118 116312 138824 153698 174468 192696 208236 230547 307396 348936 416472 461094 537943 614792 922188 1075886 1613829 1844376 2151772 3227658 4303544 6455316 12910632