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255361400 = 235271791019
BaseRepresentation
bin11110011100010…
…00000101111000
3122210111200222122
433032020011320
51010333031100
641201140412
76220351610
oct1716100570
9583450878
10255361400
11121165888
127162a708
1340b9bb28
1425cb3a40
1517642985
hexf388178

255361400 has 96 divisors (see below), whose sum is σ = 682992000. Its totient is φ = 86977920.

The previous prime is 255361397. The next prime is 255361423. The reversal of 255361400 is 4163552.

It is a self number, because there is not a number n which added to its sum of digits gives 255361400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250091 + ... + 251109.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2255361400 is an apocalyptic number.

255361400 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 255361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341496000).

255361400 is an abundant number, since it is smaller than the sum of its proper divisors (427630600).

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

255361400 is a wasteful number, since it uses less digits than its factorization.

255361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 255361400 is about 15980.0312890808. The cubic root of 255361400 is about 634.4320049561.

The spelling of 255361400 in words is "two hundred fifty-five million, three hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 179 200 280 350 358 700 716 895 1019 1253 1400 1432 1790 2038 2506 3580 4076 4475 5012 5095 6265 7133 7160 8152 8950 10024 10190 12530 14266 17900 20380 25060 25475 28532 31325 35665 35800 40760 50120 50950 57064 62650 71330 101900 125300 142660 178325 182401 203800 250600 285320 356650 364802 713300 729604 912005 1276807 1426600 1459208 1824010 2553614 3648020 4560025 5107228 6384035 7296040 9120050 10214456 12768070 18240100 25536140 31920175 36480200 51072280 63840350 127680700 255361400