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255818040 = 233517891409
BaseRepresentation
bin11110011111101…
…11100100111000
3122211100220101020
433033313210320
51010442134130
641215022440
76224263122
oct1717674470
9584326336
10255818040
11121447975
127180aa20
1340ccb92a
1425d92212
15176d2e10
hexf3f7938

255818040 has 128 divisors (see below), whose sum is σ = 822312000. Its totient is φ = 63438848.

The previous prime is 255818021. The next prime is 255818083. The reversal of 255818040 is 40818552.

255818040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255817992 and 255818010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180856 + ... + 182264.

Almost surely, 2255818040 is an apocalyptic number.

255818040 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 255818040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411156000).

255818040 is an abundant number, since it is smaller than the sum of its proper divisors (566493960).

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

255818040 is a wasteful number, since it uses less digits than its factorization.

255818040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 255818040 is about 15994.3127392208. The cubic root of 255818040 is about 634.8099458095.

The spelling of 255818040 in words is "two hundred fifty-five million, eight hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 89 102 120 136 170 178 204 255 267 340 356 408 445 510 534 680 712 890 1020 1068 1335 1409 1513 1780 2040 2136 2670 2818 3026 3560 4227 4539 5340 5636 6052 7045 7565 8454 9078 10680 11272 12104 14090 15130 16908 18156 21135 22695 23953 28180 30260 33816 36312 42270 45390 47906 56360 60520 71859 84540 90780 95812 119765 125401 143718 169080 181560 191624 239530 250802 287436 359295 376203 479060 501604 574872 627005 718590 752406 958120 1003208 1254010 1437180 1504812 1881015 2131817 2508020 2874360 3009624 3762030 4263634 5016040 6395451 7524060 8527268 10659085 12790902 15048120 17054536 21318170 25581804 31977255 42636340 51163608 63954510 85272680 127909020 255818040