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132870416 = 2477915017
BaseRepresentation
bin1111110101101…
…11000100010000
3100021000111221112
413322313010100
5233003323131
621103512452
73202244210
oct772670420
9307014845
10132870416
1169002568
12385b8728
13216b2163
141390a240
15b9e902b
hex7eb7110

132870416 has 40 divisors (see below), whose sum is σ = 297957120. Its totient is φ = 56219904.

The previous prime is 132870407. The next prime is 132870421. The reversal of 132870416 is 614078231.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1340 + ... + 16356.

It is an arithmetic number, because the mean of its divisors is an integer number (7448928).

Almost surely, 2132870416 is an apocalyptic number.

132870416 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 132870416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148978560).

132870416 is an abundant number, since it is smaller than the sum of its proper divisors (165086704).

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

132870416 is a wasteful number, since it uses less digits than its factorization.

132870416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15111 (or 15105 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 132870416 is about 11526.9430466191. The cubic root of 132870416 is about 510.2810395149.

The spelling of 132870416 in words is "one hundred thirty-two million, eight hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 8848 15017 30034 60068 105119 120136 210238 240272 420476 840952 1186343 1681904 2372686 4745372 8304401 9490744 16608802 18981488 33217604 66435208 132870416