Search a number
-
+
5336346560 = 26558728409
BaseRepresentation
bin1001111100001001…
…00010111111000000
3111202220021111022012
410332010202333000
541412101042220
62241304232052
7246145124456
oct47604427700
914686244265
105336346560
112299257176
12104b16b628
1367074431c
14388a169d6
15213744ac5
hex13e122fc0

5336346560 has 56 divisors (see below), whose sum is σ = 12729270960. Its totient is φ = 2130827264.

The previous prime is 5336346559. The next prime is 5336346601. The reversal of 5336346560 is 656436335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173636 + ... + 202044.

It is an arithmetic number, because the mean of its divisors is an integer number (227308410).

Almost surely, 25336346560 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 5336346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364635480).

5336346560 is an abundant number, since it is smaller than the sum of its proper divisors (7392924400).

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

5336346560 is a wasteful number, since it uses less digits than its factorization.

5336346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29013 (or 29003 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 41.

The square root of 5336346560 is about 73050.3015736417. The cubic root of 5336346560 is about 1747.4899045196.

The spelling of 5336346560 in words is "five billion, three hundred thirty-six million, three hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 587 1174 2348 2935 4696 5870 9392 11740 18784 23480 28409 37568 46960 56818 93920 113636 142045 187840 227272 284090 454544 568180 909088 1136360 1818176 2272720 4545440 9090880 16676083 33352166 66704332 83380415 133408664 166760830 266817328 333521660 533634656 667043320 1067269312 1334086640 2668173280 5336346560