Search a number
-
+
6116320 = 255743127
BaseRepresentation
bin10111010101001111100000
3102111202000101
4113111033200
53031210240
6335032144
7102662560
oct27251740
912452011
106116320
1134a8311
12206b654
131361c32
14b52da0
1580c39a
hex5d53e0

6116320 has 96 divisors (see below), whose sum is σ = 17031168. Its totient is φ = 2032128.

The previous prime is 6116293. The next prime is 6116323. The reversal of 6116320 is 236116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6116323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48097 + ... + 48223.

It is an arithmetic number, because the mean of its divisors is an integer number (177408).

Almost surely, 26116320 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 6116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515584).

6116320 is an abundant number, since it is smaller than the sum of its proper divisors (10914848).

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

6116320 is a wasteful number, since it uses less digits than its factorization.

6116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 6116320 is about 2473.1194876107. The cubic root of 6116320 is about 182.8788153256.

The spelling of 6116320 in words is "six million, one hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 127 140 160 172 215 224 254 280 301 344 430 508 560 602 635 688 860 889 1016 1120 1204 1270 1376 1505 1720 1778 2032 2408 2540 3010 3440 3556 4064 4445 4816 5080 5461 6020 6880 7112 8890 9632 10160 10922 12040 14224 17780 20320 21844 24080 27305 28448 35560 38227 43688 48160 54610 71120 76454 87376 109220 142240 152908 174752 191135 218440 305816 382270 436880 611632 764540 873760 1223264 1529080 3058160 6116320