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132413328 = 2432947971
BaseRepresentation
bin1111110010001…
…11011110010000
3100020011021221100
413321013132100
5232344211303
621050024400
73165331455
oct771073620
9306137840
10132413328
1168820103
1238418100
13215820a8
141382b82c
15b9588a3
hex7e47790

132413328 has 60 divisors (see below), whose sum is σ = 371346768. Its totient is φ = 44045760.

The previous prime is 132413327. The next prime is 132413363. The reversal of 132413328 is 823314231.

132413328 is a `hidden beast` number, since 1 + 324 + 1 + 332 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132413321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135883 + ... + 136853.

Almost surely, 2132413328 is an apocalyptic number.

132413328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132413328 is an abundant number, since it is smaller than the sum of its proper divisors (238933440).

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

132413328 is a wasteful number, since it uses less digits than its factorization.

132413328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1923 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 132413328 is about 11507.0990262533. The cubic root of 132413328 is about 509.6952273641.

Adding to 132413328 its reverse (823314231), we get a palindrome (955727559).

The spelling of 132413328 in words is "one hundred thirty-two million, four hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 947 971 1894 1942 2841 2913 3788 3884 5682 5826 7576 7768 8523 8739 11364 11652 15152 15536 17046 17478 22728 23304 34092 34956 45456 46608 68184 69912 136368 139824 919537 1839074 2758611 3678148 5517222 7356296 8275833 11034444 14712592 16551666 22068888 33103332 44137776 66206664 132413328