Search a number
-
+
13923264 = 263127571
BaseRepresentation
bin110101000111…
…001111000000
3222012101010110
4311013033000
512031021024
61214231320
7226226415
oct65071700
928171113
1013923264
11794a833
1247b5540
132b66524
141bc610c
151350629
hexd473c0

13923264 has 56 divisors (see below), whose sum is σ = 37193728. Its totient is φ = 4596480.

The previous prime is 13923263. The next prime is 13923307. The reversal of 13923264 is 46232931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24099 + ... + 24669.

Almost surely, 213923264 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 13923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18596864).

13923264 is an abundant number, since it is smaller than the sum of its proper divisors (23270464).

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

13923264 is a wasteful number, since it uses less digits than its factorization.

13923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 703 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 13923264 is about 3731.3890175108. The cubic root of 13923264 is about 240.5730749598.

It can be divided in two parts, 1392 and 3264, that added together give a triangular number (4656 = T96).

The spelling of 13923264 in words is "thirteen million, nine hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 571 762 1016 1142 1524 1713 2032 2284 3048 3426 4064 4568 6096 6852 8128 9136 12192 13704 18272 24384 27408 36544 54816 72517 109632 145034 217551 290068 435102 580136 870204 1160272 1740408 2320544 3480816 4641088 6961632 13923264