Search a number
-
+
6156960 = 2535101127
BaseRepresentation
bin10111011111001010100000
3102120210202120
4113133022200
53034010320
6335544240
7103222215
oct27371240
912523676
106156960
1135258a7
12208b080
131377594
14b63b0c
15819440
hex5df2a0

6156960 has 96 divisors (see below), whose sum is σ = 19740672. Its totient is φ = 1612800.

The previous prime is 6156959. The next prime is 6156967. The reversal of 6156960 is 696516.

6156960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6156967) 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, 48417 + ... + 48543.

It is an arithmetic number, because the mean of its divisors is an integer number (205632).

Almost surely, 26156960 is an apocalyptic number.

6156960 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 6156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336).

6156960 is an abundant number, since it is smaller than the sum of its proper divisors (13583712).

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

6156960 is a wasteful number, since it uses less digits than its factorization.

6156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 6156960 is about 2481.3222281679. The cubic root of 6156960 is about 183.2829687181.

The spelling of 6156960 in words is "six million, one hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 127 160 202 240 254 303 381 404 480 505 508 606 635 762 808 1010 1016 1212 1270 1515 1524 1616 1905 2020 2032 2424 2540 3030 3048 3232 3810 4040 4064 4848 5080 6060 6096 7620 8080 9696 10160 12120 12192 12827 15240 16160 20320 24240 25654 30480 38481 48480 51308 60960 64135 76962 102616 128270 153924 192405 205232 256540 307848 384810 410464 513080 615696 769620 1026160 1231392 1539240 2052320 3078480 6156960