Search a number
-
+
5305790340 = 22325101928927
BaseRepresentation
bin1001111000011111…
…11110111110000100
3111200202210002001100
410330033332332010
541331240242330
62234253300100
7245324321334
oct47417767604
914622702040
105305790340
112282a868a4
121040a94630
13667306116
143849410c4
15210c0b060
hex13c3fef84

5305790340 has 72 divisors (see below), whose sum is σ = 16110581760. Its totient is φ = 1413440064.

The previous prime is 5305790327. The next prime is 5305790359. The reversal of 5305790340 is 430975035.

5305790340 is a `hidden beast` number, since 5 + 305 + 7 + 9 + 0 + 340 = 666.

It is a super-2 number, since 2×53057903402 = 56302822264074631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5305790295 and 5305790304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168957 + ... + 197883.

It is an arithmetic number, because the mean of its divisors is an integer number (223758080).

Almost surely, 25305790340 is an apocalyptic number.

It is an amenable number.

5305790340 is an abundant number, since it is smaller than the sum of its proper divisors (10804791420).

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

5305790340 is a wasteful number, since it uses less digits than its factorization.

5305790340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29961 (or 29956 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 5305790340 is about 72840.8562552638. The cubic root of 5305790340 is about 1744.1481095106.

The spelling of 5305790340 in words is "five billion, three hundred five million, seven hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1019 2038 3057 4076 5095 6114 9171 10190 12228 15285 18342 20380 28927 30570 36684 45855 57854 61140 86781 91710 115708 144635 173562 183420 260343 289270 347124 433905 520686 578540 867810 1041372 1301715 1735620 2603430 5206860 29476613 58953226 88429839 117906452 147383065 176859678 265289517 294766130 353719356 442149195 530579034 589532260 884298390 1061158068 1326447585 1768596780 2652895170 5305790340