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402132114 = 2342482297
BaseRepresentation
bin10111111110000…
…000110010010010
31001000200102120000
4113332000302102
51310421211424
6103523030430
712652031556
oct2776006222
91030612500
10402132114
11196aa189a
12b280b416
1365409bc7
143b59b866
15254853c9
hex17f80c92

402132114 has 20 divisors (see below), whose sum is σ = 901074174. Its totient is φ = 134043984.

The previous prime is 402132113. The next prime is 402132121. The reversal of 402132114 is 411231204.

Adding to 402132114 its reverse (411231204), we get a palindrome (813363318).

It can be written as a sum of positive squares in only one way, i.e., 306425025 + 95707089 = 17505^2 + 9783^2 .

It is a super-2 number, since 2×4021321142 = 323420474220217992, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (402132113) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1240987 + ... + 1241310.

Almost surely, 2402132114 is an apocalyptic number.

402132114 is an abundant number, since it is smaller than the sum of its proper divisors (498942060).

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

402132114 is a wasteful number, since it uses less digits than its factorization.

402132114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482311 (or 2482302 counting only the distinct ones).

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

The square root of 402132114 is about 20053.2320088309. The cubic root of 402132114 is about 738.1131097702.

The spelling of 402132114 in words is "four hundred two million, one hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 2482297 4964594 7446891 14893782 22340673 44681346 67022019 134044038 201066057 402132114