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132400032 = 2531379167
BaseRepresentation
bin1111110010001…
…00001110100000
3100020010121200220
413321010032200
5232343300112
621045443040
73165244632
oct771041640
9306117626
10132400032
1168811116
1238410480
132157901b
1413826a52
15b95498c
hex7e443a0

132400032 has 24 divisors (see below), whose sum is σ = 347550336. Its totient is φ = 44133312.

The previous prime is 132400013. The next prime is 132400033. The reversal of 132400032 is 230004231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 132399984 and 132400020.

It is not an unprimeable number, because it can be changed into a prime (132400033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 689488 + ... + 689679.

It is an arithmetic number, because the mean of its divisors is an integer number (14481264).

Almost surely, 2132400032 is an apocalyptic number.

132400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132400032 is an abundant number, since it is smaller than the sum of its proper divisors (215150304).

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

132400032 is a wasteful number, since it uses less digits than its factorization.

132400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379180 (or 1379172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132400032 is about 11506.5212814299. The cubic root of 132400032 is about 509.6781668091.

Adding to 132400032 its reverse (230004231), we get a palindrome (362404263).

The spelling of 132400032 in words is "one hundred thirty-two million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1379167 2758334 4137501 5516668 8275002 11033336 16550004 22066672 33100008 44133344 66200016 132400032