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132032404 = 227171032693
BaseRepresentation
bin1111101111010…
…10011110010100
3100012102221102001
413313222132110
5232300014104
621033525044
73162154060
oct767523624
9305387361
10132032404
116858a999
1238273784
132147a8aa
141376caa0
15b8d0aa4
hex7dea794

132032404 has 48 divisors (see below), whose sum is σ = 282417408. Its totient is φ = 52720128.

The previous prime is 132032393. The next prime is 132032413. The reversal of 132032404 is 404230231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47682 + ... + 50374.

It is an arithmetic number, because the mean of its divisors is an integer number (5883696).

Almost surely, 2132032404 is an apocalyptic number.

132032404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132032404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141208704).

132032404 is an abundant number, since it is smaller than the sum of its proper divisors (150385004).

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

132032404 is a wasteful number, since it uses less digits than its factorization.

132032404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 132032404 is about 11490.5354096317. The cubic root of 132032404 is about 509.2059976005.

Adding to 132032404 its reverse (404230231), we get a palindrome (536262635).

The spelling of 132032404 in words is "one hundred thirty-two million, thirty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 68 103 119 206 238 412 476 721 1442 1751 2693 2884 3502 5386 7004 10772 12257 18851 24514 37702 45781 49028 75404 91562 183124 277379 320467 554758 640934 1109516 1281868 1941653 3883306 4715443 7766612 9430886 18861772 33008101 66016202 132032404