Search a number
-
+
12733956 = 2233157751
BaseRepresentation
bin110000100100…
…111000000100
3212221221201000
4300210320010
511224441311
61132533300
7213144144
oct60447004
925857630
1012733956
117208234
124321230
13283b0b1
141996924
1511b8056
hexc24e04

12733956 has 48 divisors (see below), whose sum is σ = 33268480. Its totient is φ = 4212000.

The previous prime is 12733949. The next prime is 12733961. The reversal of 12733956 is 65933721.

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 12733956.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16581 + ... + 17331.

Almost surely, 212733956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12733956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634240).

12733956 is an abundant number, since it is smaller than the sum of its proper divisors (20534524).

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

12733956 is a wasteful number, since it uses less digits than its factorization.

12733956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

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

The square root of 12733956 is about 3568.4668977027. The cubic root of 12733956 is about 233.5184046434.

It can be divided in two parts, 12733 and 956, that added together give a square (13689 = 1172).

The spelling of 12733956 in words is "twelve million, seven hundred thirty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 751 942 1413 1502 1884 2253 2826 3004 4239 4506 5652 6759 8478 9012 13518 16956 20277 27036 40554 81108 117907 235814 353721 471628 707442 1061163 1414884 2122326 3183489 4244652 6366978 12733956