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132907424 = 2513319489
BaseRepresentation
bin1111110110000…
…00000110100000
3100021002101201012
413323000012200
5233011014144
621104400052
73202460126
oct773000640
9307071635
10132907424
1169028351
1238616028
13216c5c60
1413919916
15ba04e9e
hex7ec01a0

132907424 has 24 divisors (see below), whose sum is σ = 281790180. Its totient is φ = 61341696.

The previous prime is 132907421. The next prime is 132907427. The reversal of 132907424 is 424709231.

It is an interprime number because it is at equal distance from previous prime (132907421) and next prime (132907427).

It can be written as a sum of positive squares in 2 ways, for example, as 131515024 + 1392400 = 11468^2 + 1180^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (132907421) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 159329 + ... + 160160.

Almost surely, 2132907424 is an apocalyptic number.

It is an amenable number.

132907424 is an abundant number, since it is smaller than the sum of its proper divisors (148882756).

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

132907424 is a wasteful number, since it uses less digits than its factorization.

132907424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319512 (or 319504 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 132907424 is about 11528.5482173602. The cubic root of 132907424 is about 510.3284108016.

It can be divided in two parts, 132907 and 424, that added together give a palindrome (133331).

The spelling of 132907424 in words is "one hundred thirty-two million, nine hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 319489 638978 1277956 2555912 4153357 5111824 8306714 10223648 16613428 33226856 66453712 132907424