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132929316 = 22331327283
BaseRepresentation
bin1111110110001…
…01011100100100
3100021010111202000
413323011130210
5233012214231
621105045300
73202611012
oct773053444
9307114660
10132929316
1169042843
1238626830
1321702c00
14139238b2
15ba0b6e6
hex7ec5724

132929316 has 72 divisors (see below), whose sum is σ = 373232160. Its totient is φ = 40895712.

The previous prime is 132929299. The next prime is 132929327. The reversal of 132929316 is 613929231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14611 + ... + 21893.

It is an arithmetic number, because the mean of its divisors is an integer number (5183780).

Almost surely, 2132929316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132929316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186616080).

132929316 is an abundant number, since it is smaller than the sum of its proper divisors (240302844).

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

132929316 is a wasteful number, since it uses less digits than its factorization.

132929316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322 (or 7301 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 132929316 is about 11529.4976473392. The cubic root of 132929316 is about 510.3564290414.

The spelling of 132929316 in words is "one hundred thirty-two million, nine hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 7283 9126 14566 18252 21849 29132 43698 65547 87396 94679 131094 189358 196641 262188 284037 378716 393282 568074 786564 852111 1136148 1230827 1704222 2461654 2556333 3408444 3692481 4923308 5112666 7384962 10225332 11077443 14769924 22154886 33232329 44309772 66464658 132929316