Search a number
-
+
260872992 = 25322339383
BaseRepresentation
bin11111000110010…
…01101100100000
3200011212201110200
433203021230200
51013240413432
641515225200
76315245442
oct1743115440
9604781420
10260872992
1112428a816
1273448200
134207b723
142690a492
1517d80a7c
hexf8c9b20

260872992 has 72 divisors (see below), whose sum is σ = 774131904. Its totient is φ = 83174784.

The previous prime is 260872987. The next prime is 260872993. The reversal of 260872992 is 299278062.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (260872993) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13068 + ... + 26315.

It is an arithmetic number, because the mean of its divisors is an integer number (10751832).

Almost surely, 2260872992 is an apocalyptic number.

It is an amenable number.

260872992 is an abundant number, since it is smaller than the sum of its proper divisors (513258912).

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

260872992 is a wasteful number, since it uses less digits than its factorization.

260872992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39422 (or 39411 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 260872992 is about 16151.5631441666. The cubic root of 260872992 is about 638.9639748402.

The spelling of 260872992 in words is "two hundred sixty million, eight hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 39383 78766 118149 157532 236298 315064 354447 472596 630128 708894 905809 945192 1260256 1417788 1811618 1890384 2717427 2835576 3623236 3780768 5434854 5671152 7246472 8152281 10869708 11342304 14492944 16304562 21739416 28985888 32609124 43478832 65218248 86957664 130436496 260872992