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401255020 = 225294911409
BaseRepresentation
bin10111111010101…
…010101001101100
31000222000212102001
4113322222221230
51310210130040
6103452142044
712641416465
oct2772525154
91028025361
10401255020
11196552921
12b2467924
136519090a
143b40dd6c
152536059a
hex17eaaa6c

401255020 has 48 divisors (see below), whose sum is σ = 874087200. Its totient is φ = 154542080.

The previous prime is 401254993. The next prime is 401255021. The reversal of 401255020 is 20552104.

It is a super-2 number, since 2×4012550202 = 322011182150400800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401255021) by changing a digit.

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, 284076 + ... + 285484.

It is an arithmetic number, because the mean of its divisors is an integer number (18210150).

Almost surely, 2401255020 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 401255020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437043600).

401255020 is an abundant number, since it is smaller than the sum of its proper divisors (472832180).

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

401255020 is a wasteful number, since it uses less digits than its factorization.

401255020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 401255020 is about 20031.3509279829. The cubic root of 401255020 is about 737.5760840781.

The spelling of 401255020 in words is "four hundred one million, two hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 491 580 982 1409 1964 2455 2818 4910 5636 7045 9820 14090 14239 28180 28478 40861 56956 71195 81722 142390 163444 204305 284780 408610 691819 817220 1383638 2767276 3459095 6918190 13836380 20062751 40125502 80251004 100313755 200627510 401255020