Search a number
-
+
10251285060 = 22351271976829
BaseRepresentation
bin10011000110000011…
…00011001001000100
3222110102121020102110
421203001203021010
5131443312110220
64413120341020
7512015325312
oct114301431104
928412536373
1010251285060
114390646215
121ba1174770
13c74a8ca63
146d36950b2
153eee97be0
hex263063244

10251285060 has 96 divisors (see below), whose sum is σ = 29080719360. Its totient is φ = 2697988608.

The previous prime is 10251285049. The next prime is 10251285067. The reversal of 10251285060 is 6058215201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10251285067) 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, 1497726 + ... + 1504554.

It is an arithmetic number, because the mean of its divisors is an integer number (302924160).

Almost surely, 210251285060 is an apocalyptic number.

10251285060 is a gapful number since it is divisible by the number (10) 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 10251285060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540359680).

10251285060 is an abundant number, since it is smaller than the sum of its proper divisors (18829434300).

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

10251285060 is a wasteful number, since it uses less digits than its factorization.

10251285060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 10251285060 in words is "ten billion, two hundred fifty-one million, two hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 197 254 381 394 508 591 635 762 788 985 1182 1270 1524 1905 1970 2364 2540 2955 3810 3940 5910 6829 7620 11820 13658 20487 25019 27316 34145 40974 50038 68290 75057 81948 100076 102435 125095 136580 150114 204870 250190 300228 375285 409740 500380 750570 867283 1345313 1501140 1734566 2601849 2690626 3469132 4035939 4336415 5203698 5381252 6726565 8071878 8672830 10407396 13009245 13453130 16143756 17345660 20179695 26018490 26906260 40359390 52036980 80718780 170854751 341709502 512564253 683419004 854273755 1025128506 1708547510 2050257012 2562821265 3417095020 5125642530 10251285060