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401255310 = 235293111483
BaseRepresentation
bin10111111010101…
…010101110001110
31000222000212210210
4113322222232032
51310210132220
6103452143250
712641420361
oct2772525616
91028025723
10401255310
11196553065
12b2467b26
1365190aa1
143b4100d8
15253606e0
hex17eaab8e

401255310 has 64 divisors (see below), whose sum is σ = 1000097280. Its totient is φ = 102910080.

The previous prime is 401255303. The next prime is 401255311. The reversal of 401255310 is 13552104.

401255310 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4012553102 = 322011647606392200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401255311) 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, 269829 + ... + 271311.

It is an arithmetic number, because the mean of its divisors is an integer number (15626520).

Almost surely, 2401255310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401255310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500048640).

401255310 is an abundant number, since it is smaller than the sum of its proper divisors (598841970).

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

401255310 is a wasteful number, since it uses less digits than its factorization.

401255310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 401255310 is about 20031.3581666346. The cubic root of 401255310 is about 737.5762617681.

The spelling of 401255310 in words is "four hundred one million, two hundred fifty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 311 435 622 870 933 1483 1555 1866 2966 3110 4449 4665 7415 8898 9019 9330 14830 18038 22245 27057 43007 44490 45095 54114 86014 90190 129021 135285 215035 258042 270570 430070 461213 645105 922426 1290210 1383639 2306065 2767278 4612130 6918195 13375177 13836390 26750354 40125531 66875885 80251062 133751770 200627655 401255310