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132524040 = 23351129127
BaseRepresentation
bin1111110011000…
…10100000001000
3100020100220210210
413321202200020
5232411232130
621052241120
73166302315
oct771424010
9306326723
10132524040
1168896300
12384701a0
13215c05bc
1413859d0c
15b97b5b0
hex7e62808

132524040 has 96 divisors (see below), whose sum is σ = 437048640. Its totient is φ = 32123520.

The previous prime is 132524017. The next prime is 132524087. The reversal of 132524040 is 40425231.

It is a junction number, because it is equal to n+sod(n) for n = 132523998 and 132524016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9957 + ... + 19083.

It is an arithmetic number, because the mean of its divisors is an integer number (4552590).

Almost surely, 2132524040 is an apocalyptic number.

132524040 is a gapful number since it is divisible by the number (10) 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 132524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218524320).

132524040 is an abundant number, since it is smaller than the sum of its proper divisors (304524600).

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

132524040 is a wasteful number, since it uses less digits than its factorization.

132524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132524040 is about 11511.9086167325. The cubic root of 132524040 is about 509.8372414124.

Adding to 132524040 its reverse (40425231), we get a palindrome (172949271).

The spelling of 132524040 in words is "one hundred thirty-two million, five hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 9127 14520 18254 27381 36508 45635 54762 73016 91270 100397 109524 136905 182540 200794 219048 273810 301191 365080 401588 501985 547620 602382 803176 1003970 1095240 1104367 1204764 1505955 2007940 2208734 2409528 3011910 3313101 4015880 4417468 5521835 6023820 6626202 8834936 11043670 12047640 13252404 16565505 22087340 26504808 33131010 44174680 66262020 132524040