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260249016 = 233291991879
BaseRepresentation
bin11111000001100…
…01010110111000
3200010201000112110
433200301112320
51013110432031
641454012320
76310036326
oct1740612670
9603630473
10260249016
111239a3a35
12731a70a0
1341bc0701
14267c6d16
1517caac46
hexf8315b8

260249016 has 64 divisors (see below), whose sum is σ = 676800000. Its totient is φ = 83293056.

The previous prime is 260248991. The next prime is 260249047. The reversal of 260249016 is 610942062.

260249016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137565 + ... + 139443.

It is an arithmetic number, because the mean of its divisors is an integer number (10575000).

Almost surely, 2260249016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260249016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338400000).

260249016 is an abundant number, since it is smaller than the sum of its proper divisors (416550984).

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

260249016 is a wasteful number, since it uses less digits than its factorization.

260249016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 260249016 is about 16132.2353069871. The cubic root of 260249016 is about 638.4541271372.

The spelling of 260249016 in words is "two hundred sixty million, two hundred forty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 199 232 348 398 597 696 796 1194 1592 1879 2388 3758 4776 5637 5771 7516 11274 11542 15032 17313 22548 23084 34626 45096 46168 54491 69252 108982 138504 163473 217964 326946 373921 435928 653892 747842 1121763 1307784 1495684 2243526 2991368 4487052 8974104 10843709 21687418 32531127 43374836 65062254 86749672 130124508 260249016