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255870420 = 2235131132903
BaseRepresentation
bin11110100000001…
…00010111010100
3122211110120020020
433100010113110
51011000323140
641220105140
76224601621
oct1720042724
9584416206
10255870420
11121483263
12718351b0
1341019720
1425da7348
15176e36d0
hexf4045d4

255870420 has 96 divisors (see below), whose sum is σ = 778643712. Its totient is φ = 62404608.

The previous prime is 255870409. The next prime is 255870421. The reversal of 255870420 is 24078552.

255870420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255870421) 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, 86689 + ... + 89591.

It is an arithmetic number, because the mean of its divisors is an integer number (8110872).

Almost surely, 2255870420 is an apocalyptic number.

255870420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255870420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389321856).

255870420 is an abundant number, since it is smaller than the sum of its proper divisors (522773292).

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

255870420 is a wasteful number, since it uses less digits than its factorization.

255870420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 255870420 is about 15995.9501124503. The cubic root of 255870420 is about 634.8532696707.

The spelling of 255870420 in words is "two hundred fifty-five million, eight hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 390 452 565 678 780 1130 1356 1469 1695 2260 2903 2938 3390 4407 5806 5876 6780 7345 8709 8814 11612 14515 14690 17418 17628 22035 29030 29380 34836 37739 43545 44070 58060 75478 87090 88140 113217 150956 174180 188695 226434 328039 377390 452868 566085 656078 754780 984117 1132170 1312156 1640195 1968234 2264340 3280390 3936468 4264507 4920585 6560780 8529014 9841170 12793521 17058028 19682340 21322535 25587042 42645070 51174084 63967605 85290140 127935210 255870420