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402132 = 223233147
BaseRepresentation
bin1100010001011010100
3202102121210
41202023110
5100332012
612341420
73263253
oct1421324
9672553
10402132
11255145
12174870
13111063
14a679a
157e23c
hex622d4

402132 has 48 divisors (see below), whose sum is σ = 1032192. Its totient is φ = 121440.

The previous prime is 402131. The next prime is 402133. The reversal of 402132 is 231204.

It is an interprime number because it is at equal distance from previous prime (402131) and next prime (402133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8533 + ... + 8579.

It is an arithmetic number, because the mean of its divisors is an integer number (21504).

2402132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516096).

402132 is an abundant number, since it is smaller than the sum of its proper divisors (630060).

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

402132 is a wasteful number, since it uses less digits than its factorization.

402132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 402132 is about 634.1387860713. The cubic root of 402132 is about 73.8113040021.

Adding to 402132 its reverse (231204), we get a palindrome (633336).

The spelling of 402132 in words is "four hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 31 46 47 62 69 92 93 94 124 138 141 186 188 276 282 372 564 713 1081 1426 1457 2139 2162 2852 2914 3243 4278 4324 4371 5828 6486 8556 8742 12972 17484 33511 67022 100533 134044 201066 402132