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401352420 = 22357955601
BaseRepresentation
bin10111111011000…
…010011011100100
31000222012211000110
4113323002123210
51310221234140
6103454213020
712642303450
oct2773023344
91028184013
10401352420
1119660a017
12b24b4170
13651c6051
143b437660
152537e380
hex17ec26e4

401352420 has 48 divisors (see below), whose sum is σ = 1284329088. Its totient is φ = 91737600.

The previous prime is 401352407. The next prime is 401352433. The reversal of 401352420 is 24253104.

It is an interprime number because it is at equal distance from previous prime (401352407) and next prime (401352433).

It is a super-2 number, since 2×4013524202 = 322167530079712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 477381 + ... + 478220.

It is an arithmetic number, because the mean of its divisors is an integer number (26756856).

Almost surely, 2401352420 is an apocalyptic number.

It is an amenable number.

401352420 is an abundant number, since it is smaller than the sum of its proper divisors (882976668).

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

401352420 is a wasteful number, since it uses less digits than its factorization.

401352420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955620 (or 955618 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 401352420 is about 20033.7819694635. The cubic root of 401352420 is about 737.6357585952.

The spelling of 401352420 in words is "four hundred one million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 955601 1911202 2866803 3822404 4778005 5733606 6689207 9556010 11467212 13378414 14334015 19112020 20067621 26756828 28668030 33446035 40135242 57336060 66892070 80270484 100338105 133784140 200676210 401352420