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13338132 = 22317151433
BaseRepresentation
bin110010111000…
…011000010100
3221002122110220
4302320120110
511403310012
61153514340
7221241453
oct62703024
927078426
1013338132
117590155
1245729b0
1329c00b2
141ab2b9a
15128708c
hexcb8614

13338132 has 48 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 4147200.

The previous prime is 13338119. The next prime is 13338151. The reversal of 13338132 is 23183331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30588 + ... + 31020.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 213338132 is an apocalyptic number.

13338132 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 13338132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

13338132 is an abundant number, since it is smaller than the sum of its proper divisors (19909740).

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

13338132 is a wasteful number, since it uses less digits than its factorization.

13338132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 13338132 is about 3652.1407420854. The cubic root of 13338132 is about 237.1546641295.

The spelling of 13338132 in words is "thirteen million, three hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 151 204 302 433 453 604 866 906 1299 1732 1812 2567 2598 5134 5196 7361 7701 10268 14722 15402 22083 29444 30804 44166 65383 88332 130766 196149 261532 392298 784596 1111511 2223022 3334533 4446044 6669066 13338132