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429132 = 223113251
BaseRepresentation
bin1101000110001001100
3210210122210
41220301030
5102213012
613110420
73435054
oct1506114
9723583
10429132
11273460
12188410
13120432
14b2564
158723c
hex68c4c

429132 has 24 divisors (see below), whose sum is σ = 1092672. Its totient is φ = 130000.

The previous prime is 429127. The next prime is 429137. The reversal of 429132 is 231924.

It is an interprime number because it is at equal distance from previous prime (429127) and next prime (429137).

It is a junction number, because it is equal to n+sod(n) for n = 429099 and 429108.

It is not an unprimeable number, because it can be changed into a prime (429137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1494 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (45528).

2429132 is an apocalyptic number.

It is an amenable number.

429132 is an abundant number, since it is smaller than the sum of its proper divisors (663540).

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

429132 is a wasteful number, since it uses less digits than its factorization.

429132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3267 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 429132 is about 655.0816742972. The cubic root of 429132 is about 75.4276018995.

It can be divided in two parts, 429 and 132, that added together give a triangular number (561 = T33).

The spelling of 429132 in words is "four hundred twenty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3251 6502 9753 13004 19506 35761 39012 71522 107283 143044 214566 429132