Search a number
-
+
6022960900 = 2252118236653
BaseRepresentation
bin1011001101111111…
…10001011100000100
3120112202021010002221
411212333301130010
544313334222100
62433352542124
7302153215525
oct54677613404
916482233087
106022960900
112610893740
1212010b1944
1374ca77ab8
14411ca884c
15253b7101a
hex166ff1704

6022960900 has 72 divisors (see below), whose sum is σ = 14277461184. Its totient is φ = 2187177600.

The previous prime is 6022960883. The next prime is 6022960901. The reversal of 6022960900 is 90692206.

It is not an unprimeable number, because it can be changed into a prime (6022960901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901974 + ... + 908626.

It is an arithmetic number, because the mean of its divisors is an integer number (198298072).

Almost surely, 26022960900 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 6022960900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138730592).

6022960900 is an abundant number, since it is smaller than the sum of its proper divisors (8254500284).

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

6022960900 is a wasteful number, since it uses less digits than its factorization.

6022960900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7501 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 6022960900 is about 77607.7373719915. The cubic root of 6022960900 is about 1819.4355714623.

The spelling of 6022960900 in words is "six billion, twenty-two million, nine hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 823 1100 1646 3292 4115 6653 8230 9053 13306 16460 18106 20575 26612 33265 36212 41150 45265 66530 73183 82300 90530 133060 146366 166325 181060 226325 292732 332650 365915 452650 665300 731830 905300 1463660 1829575 3659150 5475419 7318300 10950838 21901676 27377095 54754190 60229609 109508380 120459218 136885475 240918436 273770950 301148045 547541900 602296090 1204592180 1505740225 3011480450 6022960900