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402132144 = 243174611069
BaseRepresentation
bin10111111110000…
…000110010110000
31001000200102121010
4113332000302300
51310421212034
6103523030520
712652031631
oct2776006260
91030612533
10402132144
11196aa1917
12b280b440
1365409c1b
143b59b888
15254853e9
hex17f80cb0

402132144 has 80 divisors (see below), whose sum is σ = 1103366880. Its totient is φ = 125767680.

The previous prime is 402132139. The next prime is 402132151. The reversal of 402132144 is 441231204.

It is a super-2 number, since 2×4021321442 = 323420522476073472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 402132144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375642 + ... + 376710.

It is an arithmetic number, because the mean of its divisors is an integer number (13792086).

Almost surely, 2402132144 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 402132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551683440).

402132144 is an abundant number, since it is smaller than the sum of its proper divisors (701234736).

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

402132144 is a wasteful number, since it uses less digits than its factorization.

402132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 402132144 is about 20053.2327568400. The cubic root of 402132144 is about 738.1131281252.

Adding to 402132144 its reverse (441231204), we get a palindrome (843363348).

The spelling of 402132144 in words is "four hundred two million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 461 816 922 1069 1383 1844 2138 2766 3207 3688 4276 5532 6414 7376 7837 8552 11064 12828 15674 17104 18173 22128 23511 25656 31348 36346 47022 51312 54519 62696 72692 94044 109038 125392 145384 188088 218076 290768 376176 436152 492809 872304 985618 1478427 1971236 2956854 3942472 5913708 7884944 8377753 11827416 16755506 23654832 25133259 33511012 50266518 67022024 100533036 134044048 201066072 402132144