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132632456 = 23112181757
BaseRepresentation
bin1111110011111…
…00111110001000
3100020120102112012
413321330332020
5232423214311
621054435052
73200233355
oct771747610
9306512465
10132632456
116895a800
1238502a88
132162aa58
141388762c
15b99d78b
hex7e7cf88

132632456 has 48 divisors (see below), whose sum is σ = 275222220. Its totient is φ = 59875200.

The previous prime is 132632443. The next prime is 132632471. The reversal of 132632456 is 654236231.

It can be written as a sum of positive squares in 2 ways, for example, as 122456356 + 10176100 = 11066^2 + 3190^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174830 + ... + 175586.

Almost surely, 2132632456 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 132632456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137611110).

132632456 is an abundant number, since it is smaller than the sum of its proper divisors (142589764).

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

132632456 is a wasteful number, since it uses less digits than its factorization.

132632456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 951 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 132632456 is about 11516.6165170158. The cubic root of 132632456 is about 509.9762336740.

Adding to 132632456 its reverse (654236231), we get a palindrome (786868687).

The spelling of 132632456 in words is "one hundred thirty-two million, six hundred thirty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 181 242 362 484 724 757 968 1448 1514 1991 3028 3982 6056 7964 8327 15928 16654 21901 33308 43802 66616 87604 91597 137017 175208 183194 274034 366388 548068 732776 1096136 1507187 3014374 6028748 12057496 16579057 33158114 66316228 132632456