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402214120 = 235711130589
BaseRepresentation
bin10111111110010…
…100110011101000
31001000211121001021
4113332110303220
51310431322440
6103524502224
712652522630
oct2776246350
91030747037
10402214120
11197048470
12b284a974
1365438329
143b5bd6c0
152549e84a
hex17f94ce8

402214120 has 64 divisors (see below), whose sum is σ = 1128297600. Its totient is φ = 125364480.

The previous prime is 402214093. The next prime is 402214139. The reversal of 402214120 is 21412204.

It is a junction number, because it is equal to n+sod(n) for n = 402214094 and 402214103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62215 + ... + 68374.

It is an arithmetic number, because the mean of its divisors is an integer number (17629650).

Almost surely, 2402214120 is an apocalyptic number.

402214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402214120 is an abundant number, since it is smaller than the sum of its proper divisors (726083480).

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

402214120 is a wasteful number, since it uses less digits than its factorization.

402214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130618 (or 130614 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 402214120 is about 20055.2766124030. The cubic root of 402214120 is about 738.1632803381.

Adding to 402214120 its reverse (21412204), we get a palindrome (423626324).

The spelling of 402214120 in words is "four hundred two million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 130589 261178 522356 652945 914123 1044712 1305890 1436479 1828246 2611780 2872958 3656492 4570615 5223560 5745916 7182395 7312984 9141230 10055353 11491832 14364790 18282460 20110706 28729580 36564920 40221412 50276765 57459160 80442824 100553530 201107060 402214120