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132047024 = 2417835849
BaseRepresentation
bin1111101111011…
…10000010110000
3100012110200110112
413313232002300
5232301001044
621034120452
73162244514
oct767560260
9305420415
10132047024
116859a97a
1238280128
1321484445
1413774144
15b8d509e
hex7dee0b0

132047024 has 40 divisors (see below), whose sum is σ = 274201200. Its totient is φ = 61380608.

The previous prime is 132046963. The next prime is 132047051. The reversal of 132047024 is 420740231.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19652 + ... + 25500.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2132047024 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 132047024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

132047024 is an abundant number, since it is smaller than the sum of its proper divisors (142154176).

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

132047024 is a wasteful number, since it uses less digits than its factorization.

132047024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 132047024 is about 11491.1715677732. The cubic root of 132047024 is about 509.2247917669.

Adding to 132047024 its reverse (420740231), we get a palindrome (552787255).

The spelling of 132047024 in words is "one hundred thirty-two million, forty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 68 83 136 166 272 332 664 1328 1411 2822 5644 5849 11288 11698 22576 23396 46792 93584 99433 198866 397732 485467 795464 970934 1590928 1941868 3883736 7767472 8252939 16505878 33011756 66023512 132047024