Search a number
-
+
260555464 = 23131728669
BaseRepresentation
bin11111000011111…
…00001011001000
3200011021120220101
433201330023020
51013200233324
641504335144
76312453631
oct1741741310
9604246811
10260555464
111240931a4
12733144b4
1341c9a040
1426866888
1517d1b944
hexf87c2c8

260555464 has 48 divisors (see below), whose sum is σ = 558954900. Its totient is φ = 113169408.

The previous prime is 260555441. The next prime is 260555479. The reversal of 260555464 is 464555062.

260555464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 149084100 + 111471364 = 12210^2 + 10558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25722 + ... + 34390.

Almost surely, 2260555464 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 260555464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279477450).

260555464 is an abundant number, since it is smaller than the sum of its proper divisors (298399436).

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

260555464 is a wasteful number, since it uses less digits than its factorization.

260555464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 260555464 is about 16141.7305144151. The cubic root of 260555464 is about 638.7046259973.

The spelling of 260555464 in words is "two hundred sixty million, five hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1768 2312 3757 7514 8669 15028 17338 30056 34676 69352 112697 147373 225394 294746 450788 589492 901576 1178984 1915849 2505341 3831698 5010682 7663396 10021364 15326792 20042728 32569433 65138866 130277732 260555464