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132864380 = 22511738273
BaseRepresentation
bin1111110101101…
…01100101111100
3100021000012122222
413322311211330
5233003130010
621103424512
73202220465
oct772654574
9307005588
10132864380
1168aa8a80
12385b5138
13216ac49c
1413907d6c
15b9e7355
hex7eb597c

132864380 has 48 divisors (see below), whose sum is σ = 308587104. Its totient is φ = 47646720.

The previous prime is 132864377. The next prime is 132864421. The reversal of 132864380 is 83468231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132864380.

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, 11924 + ... + 20196.

It is an arithmetic number, because the mean of its divisors is an integer number (6428898).

Almost surely, 2132864380 is an apocalyptic number.

132864380 is a gapful number since it is divisible by the number (10) 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 132864380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154293552).

132864380 is an abundant number, since it is smaller than the sum of its proper divisors (175722724).

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

132864380 is a wasteful number, since it uses less digits than its factorization.

132864380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 132864380 is about 11526.6812222773. The cubic root of 132864380 is about 510.2733124299.

The spelling of 132864380 in words is "one hundred thirty-two million, eight hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 8273 16060 16546 33092 41365 82730 91003 165460 182006 364012 455015 603929 910030 1207858 1820060 2415716 3019645 6039290 6643219 12078580 13286438 26572876 33216095 66432190 132864380