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2680244600 = 23521110911177
BaseRepresentation
bin1001111111000001…
…0100100101111000
320220210100112101112
42133300110211320
520442120311400
61121542535452
7123263463125
oct23760244570
96823315345
102680244600
111155a23490
12629737588
1333938a767
141b5d6d74c
1510a481835
hex9fc14978

2680244600 has 96 divisors (see below), whose sum is σ = 6861056400. Its totient is φ = 965606400.

The previous prime is 2680244569. The next prime is 2680244659. The reversal of 2680244600 is 64420862.

It is a happy number.

2680244600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26802446002 = 14367422231658320000, which contains 22 as substring.

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, 234212 + ... + 245388.

Almost surely, 22680244600 is an apocalyptic number.

2680244600 is a gapful number since it is divisible by the number (20) 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 2680244600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430528200).

2680244600 is an abundant number, since it is smaller than the sum of its proper divisors (4180811800).

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

2680244600 is a wasteful number, since it uses less digits than its factorization.

2680244600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11313 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2680244600 is about 51771.0787988815. The cubic root of 2680244600 is about 1389.0721686190.

The spelling of 2680244600 in words is "two billion, six hundred eighty million, two hundred forty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 200 218 220 275 436 440 545 550 872 1090 1100 1199 2180 2200 2398 2725 4360 4796 5450 5995 9592 10900 11177 11990 21800 22354 23980 29975 44708 47960 55885 59950 89416 111770 119900 122947 223540 239800 245894 279425 447080 491788 558850 614735 983576 1117700 1218293 1229470 2235400 2436586 2458940 3073675 4873172 4917880 6091465 6147350 9746344 12182930 12294700 13401223 24365860 24589400 26802446 30457325 48731720 53604892 60914650 67006115 107209784 121829300 134012230 243658600 268024460 335030575 536048920 670061150 1340122300 2680244600