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2680992756 = 223513331641
BaseRepresentation
bin1001111111001100…
…1011001111110100
320220211202112200000
42133303023033310
520442313232011
61122010551300
7123303030261
oct23763131764
96824675600
102680992756
1111563945a2
12629a38530
13339590160
141b60c6268
1510a57d356
hex9fccb3f4

2680992756 has 144 divisors (see below), whose sum is σ = 7603272768. Its totient is φ = 821145600.

The previous prime is 2680992751. The next prime is 2680992791. The reversal of 2680992756 is 6572990862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680992751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4182196 + ... + 4182836.

Almost surely, 22680992756 is an apocalyptic number.

2680992756 is a gapful number since it is divisible by the number (26) 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 2680992756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801636384).

2680992756 is an abundant number, since it is smaller than the sum of its proper divisors (4922280012).

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

2680992756 is a wasteful number, since it uses less digits than its factorization.

2680992756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2680992756 is about 51778.3039119668. The cubic root of 2680992756 is about 1389.2014038382.

The spelling of 2680992756 in words is "two billion, six hundred eighty million, nine hundred ninety-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 331 351 468 486 641 662 702 972 993 1053 1282 1324 1404 1923 1986 2106 2564 2979 3159 3846 3972 4212 4303 5769 5958 6318 7692 8333 8606 8937 11538 11916 12636 12909 16666 17212 17307 17874 23076 24999 25818 26811 33332 34614 35748 38727 49998 51636 51921 53622 69228 74997 77454 80433 99996 103842 107244 116181 149994 154908 155763 160866 207684 212171 224991 232362 299988 311526 321732 348543 424342 449982 464724 623052 636513 674973 697086 848684 899964 1045629 1273026 1349946 1394172 1909539 2024919 2091258 2546052 2699892 2758223 3819078 4049838 4182516 5516446 5728617 7638156 8099676 8274669 11032892 11457234 16549338 17185851 22914468 24824007 33098676 34371702 49648014 51557553 68743404 74472021 99296028 103115106 148944042 206230212 223416063 297888084 446832126 670248189 893664252 1340496378 2680992756