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132414 = 2329761
BaseRepresentation
bin100000010100111110
320201122020
4200110332
513214124
62501010
71061022
oct402476
9221566
10132414
1190537
1264766
1348369
1436382
1529379
hex2053e

132414 has 16 divisors (see below), whose sum is σ = 274320. Its totient is φ = 42560.

The previous prime is 132409. The next prime is 132421. The reversal of 132414 is 414231.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132393 and 132402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (17145).

2132414 is an apocalyptic number.

132414 is an abundant number, since it is smaller than the sum of its proper divisors (141906).

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

132414 is a wasteful number, since it uses less digits than its factorization.

132414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795.

The product of its digits is 96, while the sum is 15.

The square root of 132414 is about 363.8873452045. The cubic root of 132414 is about 50.9696089600.

Adding to 132414 its reverse (414231), we get a palindrome (546645).

The spelling of 132414 in words is "one hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 29 58 87 174 761 1522 2283 4566 22069 44138 66207 132414