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132384041 = 2573731381
BaseRepresentation
bin1111110010000…
…00010100101001
3100020002210202122
413321000110221
5232342242131
621045241025
73165150206
oct771002451
9306083678
10132384041
11688000a9
1238403175
132157196a
1413820cad
15b94ed7b
hex7e40529

132384041 has 8 divisors (see below), whose sum is σ = 133351944. Its totient is φ = 131420160.

The previous prime is 132384037. The next prime is 132384053. The reversal of 132384041 is 140483231.

It can be written as a sum of positive squares in 4 ways, for example, as 57820816 + 74563225 = 7604^2 + 8635^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132384041 - 22 = 132384037 is a prime.

It is a super-2 number, since 2×1323840412 = 35051068622979362, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132384041.

It is not an unprimeable number, because it can be changed into a prime (132384061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95171 + ... + 96551.

It is an arithmetic number, because the mean of its divisors is an integer number (16668993).

Almost surely, 2132384041 is an apocalyptic number.

It is an amenable number.

132384041 is a deficient number, since it is larger than the sum of its proper divisors (967903).

132384041 is a wasteful number, since it uses less digits than its factorization.

132384041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 132384041 is about 11505.8263936147. The cubic root of 132384041 is about 509.6576466939.

The spelling of 132384041 in words is "one hundred thirty-two million, three hundred eighty-four thousand, forty-one".

Divisors: 1 257 373 1381 95861 354917 515113 132384041