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13232772 = 2232752511
BaseRepresentation
bin110010011110…
…101010000100
3220220021221200
4302132222010
511341422042
61151342500
7220322340
oct62365204
926807850
1013232772
117518a83
124521a30
132984157
141a86620
151265c4c
hexc9ea84

13232772 has 36 divisors (see below), whose sum is σ = 38228736. Its totient is φ = 3780720.

The previous prime is 13232771. The next prime is 13232789. The reversal of 13232772 is 27723231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13232771) 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 11 ways as a sum of consecutive naturals, for example, 26004 + ... + 26507.

Almost surely, 213232772 is an apocalyptic number.

13232772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13232772 is an abundant number, since it is smaller than the sum of its proper divisors (24995964).

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

13232772 is a wasteful number, since it uses less digits than its factorization.

13232772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52528 (or 52523 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 13232772 is about 3637.6877271146. The cubic root of 13232772 is about 236.5285720419.

It can be divided in two parts, 1323 and 2772, that added together give a triangular number (4095 = T90).

The spelling of 13232772 in words is "thirteen million, two hundred thirty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 52511 105022 157533 210044 315066 367577 472599 630132 735154 945198 1102731 1470308 1890396 2205462 3308193 4410924 6616386 13232772