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260716872 = 233137311447
BaseRepresentation
bin11111000101000…
…11100101001000
3200011120210022110
433202203211020
51013220414442
641512022320
76314025333
oct1742434510
9604523273
10260716872
11124193499
12733919a0
1342025650
14268a961a
1517d4e69c
hexf8a3948

260716872 has 64 divisors (see below), whose sum is σ = 711607680. Its totient is φ = 79114752.

The previous prime is 260716871. The next prime is 260716889. The reversal of 260716872 is 278617062.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 260716872.

It is not an unprimeable number, because it can be changed into a prime (260716871) 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 15 ways as a sum of consecutive naturals, for example, 17053 + ... + 28499.

It is an arithmetic number, because the mean of its divisors is an integer number (11118870).

Almost surely, 2260716872 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 260716872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355803840).

260716872 is an abundant number, since it is smaller than the sum of its proper divisors (450890808).

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

260716872 is a wasteful number, since it uses less digits than its factorization.

260716872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11542 (or 11538 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 260716872 is about 16146.7294521213. The cubic root of 260716872 is about 638.8364862858.

The spelling of 260716872 in words is "two hundred sixty million, seven hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3796 5694 7592 11388 11447 22776 22894 34341 45788 68682 91576 137364 148811 274728 297622 446433 595244 835631 892866 1190488 1671262 1785732 2506893 3342524 3571464 5013786 6685048 10027572 10863203 20055144 21726406 32589609 43452812 65179218 86905624 130358436 260716872