Search a number
-
+
256000110 = 235171929911
BaseRepresentation
bin11110100001001…
…00000001101110
3122211201011010120
433100210001232
51011014000420
641222545410
76225652002
oct1720440156
9584634116
10256000110
11121561743
1271898266
1341063772
1425ddc702
151771bd40
hexf42406e

256000110 has 128 divisors (see below), whose sum is σ = 709171200. Its totient is φ = 58705920.

The previous prime is 256000109. The next prime is 256000133. The reversal of 256000110 is 11000652.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 256000110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280555 + ... + 281465.

It is an arithmetic number, because the mean of its divisors is an integer number (5540400).

Almost surely, 2256000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585600).

256000110 is an abundant number, since it is smaller than the sum of its proper divisors (453171090).

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

256000110 is a wasteful number, since it uses less digits than its factorization.

256000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 256000110 is about 16000.0034374996. The cubic root of 256000110 is about 634.9605117321.

Adding to 256000110 its reverse (11000652), we get a palindrome (267000762).

The spelling of 256000110 in words is "two hundred fifty-six million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 17 19 29 30 34 38 51 57 58 85 87 95 102 114 145 170 174 190 255 285 290 323 435 493 510 551 570 646 870 911 969 986 1102 1479 1615 1653 1822 1938 2465 2733 2755 2958 3230 3306 4555 4845 4930 5466 5510 7395 8265 9110 9367 9690 13665 14790 15487 16530 17309 18734 26419 27330 28101 30974 34618 46461 46835 51927 52838 56202 77435 79257 86545 92922 93670 103854 132095 140505 154870 158514 173090 232305 259635 264190 281010 294253 396285 449123 464610 501961 519270 588506 792570 882759 898246 1003922 1347369 1471265 1505883 1765518 2245615 2509805 2694738 2942530 3011766 4413795 4491230 5019610 6736845 7529415 8533337 8827590 13473690 15058830 17066674 25600011 42666685 51200022 85333370 128000055 256000110