Base | Representation |
---|---|
bin | 10111111110000… |
… | …000110010110000 |
3 | 1001000200102121010 |
4 | 113332000302300 |
5 | 1310421212034 |
6 | 103523030520 |
7 | 12652031631 |
oct | 2776006260 |
9 | 1030612533 |
10 | 402132144 |
11 | 196aa1917 |
12 | b280b440 |
13 | 65409c1b |
14 | 3b59b888 |
15 | 254853e9 |
hex | 17f80cb0 |
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".
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