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16083132 = 22313131787
BaseRepresentation
bin111101010110…
…100010111100
31010021002220120
4331112202330
513104130012
61332414540
7253463412
oct75264274
933232816
1016083132
11909554a
125477450
133441660
1421c92b2
15162a58c
hexf568bc

16083132 has 48 divisors (see below), whose sum is σ = 40774272. Its totient is φ = 4904640.

The previous prime is 16083131. The next prime is 16083143. The reversal of 16083132 is 23138061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16083131) 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, 20043 + ... + 20829.

It is an arithmetic number, because the mean of its divisors is an integer number (849464).

Almost surely, 216083132 is an apocalyptic number.

16083132 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 16083132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20387136).

16083132 is an abundant number, since it is smaller than the sum of its proper divisors (24691140).

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

16083132 is a wasteful number, since it uses less digits than its factorization.

16083132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16083132 is about 4010.3780370434. The cubic root of 16083132 is about 252.4198719706.

The spelling of 16083132 in words is "sixteen million, eighty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 787 1572 1574 1703 2361 3148 3406 4722 5109 6812 9444 10218 10231 20436 20462 30693 40924 61386 103097 122772 206194 309291 412388 618582 1237164 1340261 2680522 4020783 5361044 8041566 16083132