Search a number
-
+
132691572 = 2232132811009
BaseRepresentation
bin1111110100010…
…11011001110100
3100020200102121200
413322023121310
5232432112242
621100012500
73200600616
oct772133164
9306612550
10132691572
11689a0162
1238531130
132164b930
14138a0db6
15b9b104c
hex7e8b674

132691572 has 72 divisors (see below), whose sum is σ = 362860680. Its totient is φ = 40642560.

The previous prime is 132691567. The next prime is 132691591. The reversal of 132691572 is 275196231.

It can be written as a sum of positive squares in 4 ways, for example, as 4639716 + 128051856 = 2154^2 + 11316^2 .

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

It is a congruent number.

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, 131004 + ... + 132012.

Almost surely, 2132691572 is an apocalyptic number.

132691572 is a gapful number since it is divisible by the number (12) 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 132691572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181430340).

132691572 is an abundant number, since it is smaller than the sum of its proper divisors (230169108).

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

132691572 is a wasteful number, since it uses less digits than its factorization.

132691572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1308 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 132691572 is about 11519.1827835138. The cubic root of 132691572 is about 510.0519900863.

It can be divided in two parts, 13269 and 1572, that added together give a palindrome (14841).

The spelling of 132691572 in words is "one hundred thirty-two million, six hundred ninety-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 281 468 562 843 1009 1124 1686 2018 2529 3027 3372 3653 4036 5058 6054 7306 9081 10116 10959 12108 13117 14612 18162 21918 26234 32877 36324 39351 43836 52468 65754 78702 118053 131508 157404 236106 283529 472212 567058 850587 1134116 1701174 2551761 3402348 3685877 5103522 7371754 10207044 11057631 14743508 22115262 33172893 44230524 66345786 132691572