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132641652 = 223112137027
BaseRepresentation
bin1111110011111…
…11001101110100
3100020120220010210
413321333031310
5232424013102
621054545420
73200302233
oct771771564
9306526123
10132641652
1168966700
1238508270
1321631cb0
141388ab1a
15b9a136c
hex7e7f374

132641652 has 72 divisors (see below), whose sum is σ = 366411808. Its totient is φ = 37097280.

The previous prime is 132641623. The next prime is 132641671. The reversal of 132641652 is 256146231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15363 + ... + 22389.

Almost surely, 2132641652 is an apocalyptic number.

132641652 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 132641652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183205904).

132641652 is an abundant number, since it is smaller than the sum of its proper divisors (233770156).

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

132641652 is a wasteful number, since it uses less digits than its factorization.

132641652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7056 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 132641652 is about 11517.0157593015. The cubic root of 132641652 is about 509.9880197109.

Adding to 132641652 its reverse (256146231), we get a palindrome (388787883).

The spelling of 132641652 in words is "one hundred thirty-two million, six hundred forty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 7027 9438 14054 18876 21081 28108 42162 77297 84324 91351 154594 182702 231891 274053 309188 365404 463782 548106 850267 927564 1004861 1096212 1700534 2009722 2550801 3014583 3401068 4019444 5101602 6029166 10203204 11053471 12058332 22106942 33160413 44213884 66320826 132641652