Search a number
-
+
13649296 = 241959761
BaseRepresentation
bin110100000100…
…010110010000
3221200110022111
4310010112100
511443234141
61204315104
7224005603
oct64042620
927613274
1013649296
117782a11
1246a2a94
132a9b90b
141b5433a
1512e9381
hexd04590

13649296 has 40 divisors (see below), whose sum is σ = 28346400. Its totient is φ = 6347520.

The previous prime is 13649261. The next prime is 13649297. The reversal of 13649296 is 69294631.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13649297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17556 + ... + 18316.

It is an arithmetic number, because the mean of its divisors is an integer number (708660).

Almost surely, 213649296 is an apocalyptic number.

13649296 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 13649296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173200).

13649296 is an abundant number, since it is smaller than the sum of its proper divisors (14697104).

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

13649296 is a wasteful number, since it uses less digits than its factorization.

13649296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 13649296 is about 3694.4953647284. The cubic root of 13649296 is about 238.9846923314.

The spelling of 13649296 in words is "thirteen million, six hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 761 944 1121 1522 2242 3044 4484 6088 8968 12176 14459 17936 28918 44899 57836 89798 115672 179596 231344 359192 718384 853081 1706162 3412324 6824648 13649296