Search a number
-
+
12525696 = 273283131
BaseRepresentation
bin101111110010…
…000010000000
3212120101000200
4233302002000
511201310241
61124245200
7211316031
oct57620200
925511020
1012525696
117085817
124240800
132797371
141940a88
1511764b6
hexbf2080

12525696 has 96 divisors (see below), whose sum is σ = 36756720. Its totient is φ = 4093440.

The previous prime is 12525691. The next prime is 12525697. The reversal of 12525696 is 69652521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12525696.

It is not an unprimeable number, because it can be changed into a prime (12525691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95551 + ... + 95681.

Almost surely, 212525696 is an apocalyptic number.

12525696 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 12525696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360).

12525696 is an abundant number, since it is smaller than the sum of its proper divisors (24231024).

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

12525696 is a wasteful number, since it uses less digits than its factorization.

12525696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 12525696 is about 3539.1660034534. The cubic root of 12525696 is about 232.2383598576.

It can be divided in two parts, 12525 and 696, that multiplied together give a triangular number (8717400 = T4175).

The spelling of 12525696 in words is "twelve million, five hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 131 144 166 192 249 262 288 332 384 393 498 524 576 664 747 786 996 1048 1152 1179 1328 1494 1572 1992 2096 2358 2656 2988 3144 3984 4192 4716 5312 5976 6288 7968 8384 9432 10624 10873 11952 12576 15936 16768 18864 21746 23904 25152 31872 32619 37728 43492 47808 50304 65238 75456 86984 95616 97857 130476 150912 173968 195714 260952 347936 391428 521904 695872 782856 1043808 1391744 1565712 2087616 3131424 4175232 6262848 12525696