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13489296 = 2431761271
BaseRepresentation
bin110011011101…
…010010010000
3221101022211120
4303131102100
511423124141
61201042240
7222441252
oct63352220
927338746
1013489296
117683787
124626380
132a43b42
141b11cd2
1512b6c66
hexcdd490

13489296 has 80 divisors (see below), whose sum is σ = 37640448. Its totient is φ = 4147200.

The previous prime is 13489291. The next prime is 13489319. The reversal of 13489296 is 69298431.

It is a super-2 number, since 2×134892962 = 363922213151232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13489291) 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 15 ways as a sum of consecutive naturals, for example, 49641 + ... + 49911.

Almost surely, 213489296 is an apocalyptic number.

13489296 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 13489296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820224).

13489296 is an abundant number, since it is smaller than the sum of its proper divisors (24151152).

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

13489296 is a wasteful number, since it uses less digits than its factorization.

13489296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 13489296 is about 3672.7776954235. Note that the first 3 decimals coincide. The cubic root of 13489296 is about 238.0472095225.

The spelling of 13489296 in words is "thirteen million, four hundred eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 102 122 136 183 204 244 271 272 366 408 488 542 732 813 816 976 1037 1084 1464 1626 2074 2168 2928 3111 3252 4148 4336 4607 6222 6504 8296 9214 12444 13008 13821 16531 16592 18428 24888 27642 33062 36856 49593 49776 55284 66124 73712 99186 110568 132248 198372 221136 264496 281027 396744 562054 793488 843081 1124108 1686162 2248216 3372324 4496432 6744648 13489296