Search a number
-
+
132275556 = 22327717393
BaseRepresentation
bin1111110001001…
…01110101100100
3100012220021221200
413320211311210
5232330304211
621043042500
73164216010
oct770456544
9305807850
10132275556
1168736646
1238370430
132153447a
14137d3540
15b92cb56
hex7e25d64

132275556 has 72 divisors (see below), whose sum is σ = 387563904. Its totient is φ = 37255680.

The previous prime is 132275551. The next prime is 132275557. The reversal of 132275556 is 655572231.

132275556 is a `hidden beast` number, since 1 + 32 + 2 + 75 + 556 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132275556.

It is not an unprimeable number, because it can be changed into a prime (132275551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14196 + ... + 21588.

It is an arithmetic number, because the mean of its divisors is an integer number (5382832).

Almost surely, 2132275556 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 132275556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193781952).

132275556 is an abundant number, since it is smaller than the sum of its proper divisors (255288348).

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

132275556 is a wasteful number, since it uses less digits than its factorization.

132275556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7476 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 132275556 is about 11501.1110767612. Note that the first 3 decimals coincide. The cubic root of 132275556 is about 509.5183919439.

The spelling of 132275556 in words is "one hundred thirty-two million, two hundred seventy-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 7393 8946 14786 17892 22179 29572 44358 51751 66537 88716 103502 133074 155253 207004 266148 310506 465759 524903 621012 931518 1049806 1574709 1863036 2099612 3149418 3674321 4724127 6298836 7348642 9448254 11022963 14697284 18896508 22045926 33068889 44091852 66137778 132275556