Search a number
-
+
6160976220 = 2235719176801
BaseRepresentation
bin1011011110011100…
…10000100101011100
3120220100222000112110
411233032100211130
5100104202214340
62455203034020
7305450301540
oct55716204534
916810860473
106160976220
11268178a693
12123b36b910
1377253b979
14426353a20
15260d34680
hex16f39095c

6160976220 has 96 divisors (see below), whose sum is σ = 19818602496. Its totient is φ = 1400832000.

The previous prime is 6160976189. The next prime is 6160976221. The reversal of 6160976220 is 226790616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6160976221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41820 + ... + 118620.

It is an arithmetic number, because the mean of its divisors is an integer number (206443776).

Almost surely, 26160976220 is an apocalyptic number.

6160976220 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 6160976220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909301248).

6160976220 is an abundant number, since it is smaller than the sum of its proper divisors (13657626276).

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

6160976220 is a wasteful number, since it uses less digits than its factorization.

6160976220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77011 (or 77009 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6160976220 is about 78491.8863322828. The cubic root of 6160976220 is about 1833.2281223002.

The spelling of 6160976220 in words is "six billion, one hundred sixty million, nine hundred seventy-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 191 210 382 420 573 764 955 1146 1337 1910 2292 2674 2865 3820 4011 5348 5730 6685 8022 11460 13370 16044 20055 26740 40110 76801 80220 153602 230403 307204 384005 460806 537607 768010 921612 1075214 1152015 1536020 1612821 2150428 2304030 2688035 3225642 4608060 5376070 6451284 8064105 10752140 14668991 16128210 29337982 32256420 44006973 58675964 73344955 88013946 102682937 146689910 176027892 205365874 220034865 293379820 308048811 410731748 440069730 513414685 616097622 880139460 1026829370 1232195244 1540244055 2053658740 3080488110 6160976220