Search a number
-
+
5860680768 = 263280912577
BaseRepresentation
bin1010111010101001…
…01110010001000000
3120010102220102121200
411131110232101000
544000313241033
62405314421200
7265142651565
oct53524562100
916112812550
105860680768
112538224228
121176891800
13725269557
143d850486c
152447b8013
hex15d52e440

5860680768 has 84 divisors (see below), whose sum is σ = 16820685180. Its totient is φ = 1950990336.

The previous prime is 5860680757. The next prime is 5860680781. The reversal of 5860680768 is 8670860685.

It can be written as a sum of positive squares in 2 ways, for example, as 5281219584 + 579461184 = 72672^2 + 24072^2 .

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, 459696 + ... + 472272.

Almost surely, 25860680768 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 5860680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410342590).

5860680768 is an abundant number, since it is smaller than the sum of its proper divisors (10960004412).

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

5860680768 is a wasteful number, since it uses less digits than its factorization.

5860680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13404 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 5860680768 is about 76555.0832276995. The cubic root of 5860680768 is about 1802.9458724636.

The spelling of 5860680768 in words is "five billion, eight hundred sixty million, six hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 809 1618 2427 3236 4854 6472 7281 9708 12577 12944 14562 19416 25154 25888 29124 37731 38832 50308 51776 58248 75462 77664 100616 113193 116496 150924 155328 201232 226386 232992 301848 402464 452772 465984 603696 804928 905544 1207392 1811088 2414784 3622176 7244352 10174793 20349586 30524379 40699172 61048758 81398344 91573137 122097516 162796688 183146274 244195032 325593376 366292548 488390064 651186752 732585096 976780128 1465170192 1953560256 2930340384 5860680768