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132400509 = 3671933413
BaseRepresentation
bin1111110010001…
…00010101111101
3100020010122100120
413321010111331
5232343304014
621045445153
73165246213
oct771042575
9306118316
10132400509
116881150a
12384107b9
13215792c7
1413826cb3
15b954ba9
hex7e4457d

132400509 has 16 divisors (see below), whose sum is σ = 180149952. Its totient is φ = 86473728.

The previous prime is 132400507. The next prime is 132400517. The reversal of 132400509 is 905004231.

It is not a de Polignac number, because 132400509 - 21 = 132400507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400507) 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, 37087 + ... + 40499.

It is an arithmetic number, because the mean of its divisors is an integer number (11259372).

Almost surely, 2132400509 is an apocalyptic number.

It is an amenable number.

132400509 is a deficient number, since it is larger than the sum of its proper divisors (47749443).

132400509 is a wasteful number, since it uses less digits than its factorization.

132400509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 132400509 is about 11506.5420087879. The cubic root of 132400509 is about 509.6787788840.

The spelling of 132400509 in words is "one hundred thirty-two million, four hundred thousand, five hundred nine".

Divisors: 1 3 67 193 201 579 3413 10239 12931 38793 228671 658709 686013 1976127 44133503 132400509