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402668420 = 225711373701
BaseRepresentation
bin11000000000000…
…011101110000100
31001001200200020012
4120000003232010
51311040342140
6103542325352
712656424260
oct3000035604
91031620205
10402668420
11197328820
12b2a29858
136556704b
143b69b0a0
152553e265
hex18003b84

402668420 has 96 divisors (see below), whose sum is σ = 1058593536. Its totient is φ = 124992000.

The previous prime is 402668417. The next prime is 402668423. The reversal of 402668420 is 24866204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402668417) and next prime (402668423).

It is not an unprimeable number, because it can be changed into a prime (402668423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574070 + ... + 574770.

It is an arithmetic number, because the mean of its divisors is an integer number (11027016).

Almost surely, 2402668420 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 402668420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529296768).

402668420 is an abundant number, since it is smaller than the sum of its proper divisors (655925116).

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

402668420 is a wasteful number, since it uses less digits than its factorization.

402668420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 402668420 is about 20066.5996122911. The cubic root of 402668420 is about 738.4410937237.

The spelling of 402668420 in words is "four hundred two million, six hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 373 385 701 746 770 1402 1492 1540 1865 2611 2804 3505 3730 4103 4907 5222 7010 7460 7711 8206 9814 10444 13055 14020 15422 16412 19628 20515 24535 26110 28721 30844 38555 41030 49070 52220 53977 57442 77110 82060 98140 107954 114884 143605 154220 215908 261473 269885 287210 522946 539770 574420 1045892 1079540 1307365 1830311 2614730 2876203 3660622 5229460 5752406 7321244 9151555 11504812 14381015 18303110 20133421 28762030 36606220 40266842 57524060 80533684 100667105 201334210 402668420