Search a number
-
+
12691152 = 2432312843
BaseRepresentation
bin110000011010…
…011011010000
3212212202222200
4300122123100
511222104102
61132003200
7212605305
oct60323320
925782880
1012691152
117189061
124300500
132824776
1419850ac
1511aa51c
hexc1a6d0

12691152 has 60 divisors (see below), whose sum is σ = 36676224. Its totient is φ = 4092480.

The previous prime is 12691109. The next prime is 12691169. The reversal of 12691152 is 25119621.

It is a super-2 number, since 2×126911522 = 322130678174208, which contains 22 as substring.

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, 3043 + ... + 5885.

Almost surely, 212691152 is an apocalyptic number.

12691152 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 12691152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338112).

12691152 is an abundant number, since it is smaller than the sum of its proper divisors (23985072).

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

12691152 is a wasteful number, since it uses less digits than its factorization.

12691152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2879 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 12691152 is about 3562.4643156108. The cubic root of 12691152 is about 233.2564608447.

The spelling of 12691152 in words is "twelve million, six hundred ninety-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2843 4464 5686 8529 11372 17058 22744 25587 34116 45488 51174 68232 88133 102348 136464 176266 204696 264399 352532 409392 528798 705064 793197 1057596 1410128 1586394 2115192 3172788 4230384 6345576 12691152