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132427464 = 233134191013
BaseRepresentation
bin1111110010010…
…10111011001000
3100020012000022220
413321022323020
5232400134324
621050214040
73165420621
oct771127310
9306160286
10132427464
116882a794
1238424320
1321588660
1413832a48
15b95cb79
hex7e4aec8

132427464 has 64 divisors (see below), whose sum is σ = 357739200. Its totient is φ = 40609536.

The previous prime is 132427457. The next prime is 132427469. The reversal of 132427464 is 464724231.

It is not an unprimeable number, because it can be changed into a prime (132427469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130222 + ... + 131234.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2132427464 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 132427464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

132427464 is an abundant number, since it is smaller than the sum of its proper divisors (225311736).

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

132427464 is a wasteful number, since it uses less digits than its factorization.

132427464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 132427464 is about 11507.7132393886. The cubic root of 132427464 is about 509.7133644994.

It can be divided in two parts, 13242 and 7464, that added together give a triangular number (20706 = T203).

The spelling of 132427464 in words is "one hundred thirty-two million, four hundred twenty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 419 838 1013 1257 1676 2026 2514 3039 3352 4052 5028 5447 6078 8104 10056 10894 12156 13169 16341 21788 24312 26338 32682 39507 43576 52676 65364 79014 105352 130728 158028 316056 424447 848894 1273341 1697788 2546682 3395576 5093364 5517811 10186728 11035622 16553433 22071244 33106866 44142488 66213732 132427464