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12935376 = 24361109
BaseRepresentation
bin110001010110…
…000011010000
3220100012000000
4301112003100
511302413001
61141130000
7214643316
oct61260320
926305000
1012935376
1173355a3
1243b9900
1328ab98c
141a0a0b6
151207a86
hexc560d0

12935376 has 70 divisors (see below), whose sum is σ = 37610130. Its totient is φ = 4307904.

The previous prime is 12935369. The next prime is 12935393. The reversal of 12935376 is 67353921.

It can be written as a sum of positive squares in only one way, i.e., 7290000 + 5645376 = 2700^2 + 2376^2 .

It is a super-2 number, since 2×129353762 = 334647904522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12935376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11110 + ... + 12218.

Almost surely, 212935376 is an apocalyptic number.

12935376 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 12935376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805065).

12935376 is an abundant number, since it is smaller than the sum of its proper divisors (24674754).

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

12935376 is an equidigital number, since it uses as much as digits as its factorization.

12935376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1114 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 12935376 is about 3596.5783739549. The cubic root of 12935376 is about 234.7431991824.

The spelling of 12935376 in words is "twelve million, nine hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1109 1296 1458 1944 2218 2916 3327 3888 4436 5832 6654 8872 9981 11664 13308 17744 19962 26616 29943 39924 53232 59886 79848 89829 119772 159696 179658 239544 269487 359316 479088 538974 718632 808461 1077948 1437264 1616922 2155896 3233844 4311792 6467688 12935376