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132632352 = 25322320023
BaseRepresentation
bin1111110011111…
…00111100100000
3100020120102101100
413321330330200
5232423213402
621054434400
73200233146
oct771747440
9306512340
10132632352
116895a716
1238502a00
132162a9a8
1413887596
15b99d71c
hex7e7cf20

132632352 has 72 divisors (see below), whose sum is σ = 393591744. Its totient is φ = 42286464.

The previous prime is 132632347. The next prime is 132632359. The reversal of 132632352 is 253236231.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (132632359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3388 + ... + 16635.

It is an arithmetic number, because the mean of its divisors is an integer number (5466552).

Almost surely, 2132632352 is an apocalyptic number.

132632352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132632352 is an abundant number, since it is smaller than the sum of its proper divisors (260959392).

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

132632352 is a wasteful number, since it uses less digits than its factorization.

132632352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20062 (or 20051 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 132632352 is about 11516.6120017998. The cubic root of 132632352 is about 509.9761003795.

Adding to 132632352 its reverse (253236231), we get a palindrome (385868583).

It can be divided in two parts, 13 and 2632352, that added together give a triangular number (2632365 = T2294).

The spelling of 132632352 in words is "one hundred thirty-two million, six hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 20023 40046 60069 80092 120138 160184 180207 240276 320368 360414 460529 480552 640736 720828 921058 961104 1381587 1441656 1842116 1922208 2763174 2883312 3684232 4144761 5526348 5766624 7368464 8289522 11052696 14736928 16579044 22105392 33158088 44210784 66316176 132632352