Search a number
-
+
6256293660 = 2233568316963
BaseRepresentation
bin1011101001110011…
…10111011100011100
3121011000022122111000
411310321313130130
5100303102344120
62512450030300
7311015422131
oct56471673434
917130278430
106256293660
112720573031
121267278390
13789203016
14434c86588
152693b1990
hex174e7771c

6256293660 has 96 divisors (see below), whose sum is σ = 19493671680. Its totient is φ = 1665804096.

The previous prime is 6256293623. The next prime is 6256293671. The reversal of 6256293660 is 663926526.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 360339 + ... + 377301.

It is an arithmetic number, because the mean of its divisors is an integer number (203059080).

Almost surely, 26256293660 is an apocalyptic number.

6256293660 is a gapful number since it is divisible by the number (60) 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 6256293660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9746835840).

6256293660 is an abundant number, since it is smaller than the sum of its proper divisors (13237378020).

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

6256293660 is a wasteful number, since it uses less digits than its factorization.

6256293660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17664 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 6256293660 is about 79096.7360894241. The cubic root of 6256293660 is about 1842.6338363432.

It can be divided in two parts, 6256293 and 660, that added together give a triangular number (6256953 = T3537).

The spelling of 6256293660 in words is "six billion, two hundred fifty-six million, two hundred ninety-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 683 1366 2049 2732 3415 4098 6147 6830 8196 10245 12294 13660 16963 18441 20490 24588 30735 33926 36882 40980 50889 61470 67852 73764 84815 92205 101778 122940 152667 169630 184410 203556 254445 305334 339260 368820 458001 508890 610668 763335 916002 1017780 1526670 1832004 2290005 3053340 4580010 9160020 11585729 23171458 34757187 46342916 57928645 69514374 104271561 115857290 139028748 173785935 208543122 231714580 312814683 347571870 417086244 521357805 625629366 695143740 1042715610 1251258732 1564073415 2085431220 3128146830 6256293660