Search a number
-
+
132177060 = 223251814057
BaseRepresentation
bin1111110000011…
…01110010100100
3100012201021211200
413320031302210
5232314131220
621041002500
73163325601
oct770156244
9305637750
10132177060
1168679644
1238323430
13214cb6a2
14137a96a8
15b90d890
hex7e0dca4

132177060 has 72 divisors (see below), whose sum is σ = 403251576. Its totient is φ = 35043840.

The previous prime is 132177049. The next prime is 132177077. The reversal of 132177060 is 60771231.

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 132158016 = 138^2 + 11496^2 .

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, 30552 + ... + 34608.

Almost surely, 2132177060 is an apocalyptic number.

132177060 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 132177060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201625788).

132177060 is an abundant number, since it is smaller than the sum of its proper divisors (271074516).

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

132177060 is a wasteful number, since it uses less digits than its factorization.

132177060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 132177060 is about 11496.8282582632. The cubic root of 132177060 is about 509.3918934264.

The spelling of 132177060 in words is "one hundred thirty-two million, one hundred seventy-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 4057 5430 6516 8114 8145 10860 12171 16228 16290 20285 24342 32580 36513 40570 48684 60855 73026 81140 121710 146052 182565 243420 365130 730260 734317 1468634 2202951 2937268 3671585 4405902 6608853 7343170 8811804 11014755 13217706 14686340 22029510 26435412 33044265 44059020 66088530 132177060