Search a number
-
+
6105960 = 2332572423
BaseRepresentation
bin10111010010101101101000
3102111012210200
4113102231220
53030342320
6334512200
7102620430
oct27225550
912435720
106105960
1134a0553
122065660
13135a2c3
14b4d2c0
15809290
hex5d2b68

6105960 has 96 divisors (see below), whose sum is σ = 22688640. Its totient is φ = 1395072.

The previous prime is 6105959. The next prime is 6105997. The reversal of 6105960 is 695016.

It is a congruent number.

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, 1309 + ... + 3731.

It is an arithmetic number, because the mean of its divisors is an integer number (236340).

Almost surely, 26105960 is an apocalyptic number.

6105960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11344320).

6105960 is an abundant number, since it is smaller than the sum of its proper divisors (16582680).

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

6105960 is a wasteful number, since it uses less digits than its factorization.

6105960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 6105960 is about 2471.0240792028. The cubic root of 6105960 is about 182.7755018267.

The spelling of 6105960 in words is "six million, one hundred five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2423 2520 4846 7269 9692 12115 14538 16961 19384 21807 24230 29076 33922 36345 43614 48460 50883 58152 67844 72690 84805 87228 96920 101766 109035 135688 145380 152649 169610 174456 203532 218070 254415 290760 305298 339220 407064 436140 508830 610596 678440 763245 872280 1017660 1221192 1526490 2035320 3052980 6105960