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13214772 = 2233373307
BaseRepresentation
bin110010011010…
…010000110100
3220212101021000
4302122100310
511340333042
61151123300
7220216014
oct62322064
926771230
1013214772
1175064aa
124513530
132978bbc
141a7dc44
15126074c
hexc9a434

13214772 has 48 divisors (see below), whose sum is σ = 35197120. Its totient is φ = 4284576.

The previous prime is 13214771. The next prime is 13214777. The reversal of 13214772 is 27741231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2343 + ... + 5649.

Almost surely, 213214772 is an apocalyptic number.

13214772 is a gapful number since it is divisible by the number (12) 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 13214772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17598560).

13214772 is an abundant number, since it is smaller than the sum of its proper divisors (21982348).

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

13214772 is a wasteful number, since it uses less digits than its factorization.

13214772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3349 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 13214772 is about 3635.2127860691. The cubic root of 13214772 is about 236.4212766544.

The spelling of 13214772 in words is "thirteen million, two hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3307 3996 6614 9921 13228 19842 29763 39684 59526 89289 119052 122359 178578 244718 357156 367077 489436 734154 1101231 1468308 2202462 3303693 4404924 6607386 13214772