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132051616 = 2529142297
BaseRepresentation
bin1111101111011…
…11001010100000
3100012110220202121
413313233022200
5232301122431
621034154024
73162264064
oct767571240
9305426677
10132051616
11685a3374
1238282914
1321486568
1413775aa4
15b8d6611
hex7def2a0

132051616 has 24 divisors (see below), whose sum is σ = 268943220. Its totient is φ = 63748608.

The previous prime is 132051613. The next prime is 132051637. The reversal of 132051616 is 616150231.

132051616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129504400 + 2547216 = 11380^2 + 1596^2 .

It is a super-2 number, since 2×1320516162 = 34875258576422912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132051613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70221 + ... + 72076.

Almost surely, 2132051616 is an apocalyptic number.

132051616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132051616 is an abundant number, since it is smaller than the sum of its proper divisors (136891604).

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

132051616 is a wasteful number, since it uses less digits than its factorization.

132051616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142336 (or 142328 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 132051616 is about 11491.3713715988. The cubic root of 132051616 is about 509.2306945458.

The spelling of 132051616 in words is "one hundred thirty-two million, fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 142297 284594 569188 1138376 2276752 4126613 4553504 8253226 16506452 33012904 66025808 132051616