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402138 = 23311677
BaseRepresentation
bin1100010001011011010
3202102122000
41202023122
5100332023
612341430
73263262
oct1421332
9672560
10402138
11255150
12174876
13111069
14a67a2
157e243
hex622da

402138 has 32 divisors (see below), whose sum is σ = 976320. Its totient is φ = 121680.

The previous prime is 402137. The next prime is 402139. The reversal of 402138 is 831204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402137) and next prime (402139).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 402138.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402138.

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, 256 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (30510).

2402138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488160).

402138 is an abundant number, since it is smaller than the sum of its proper divisors (574182).

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

402138 is a wasteful number, since it uses less digits than its factorization.

402138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 402138 is about 634.1435168793. The cubic root of 402138 is about 73.8116711002.

The spelling of 402138 in words is "four hundred two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 677 1354 2031 4062 6093 7447 12186 14894 18279 22341 36558 44682 67023 134046 201069 402138