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2671298740 = 22511172293119
BaseRepresentation
bin1001111100111000…
…1100100010110100
320220011112000222101
42133032030202310
520432323024430
61121023111444
7123124443655
oct23716144264
96804460871
102671298740
111150973310
12626742584
13337577956
141b4ac152c
151097b5dca
hex9f38c8b4

2671298740 has 96 divisors (see below), whose sum is σ = 6510067200. Its totient is φ = 909957120.

The previous prime is 2671298719. The next prime is 2671298743. The reversal of 2671298740 is 478921762.

2671298740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671298743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854901 + ... + 858019.

It is an arithmetic number, because the mean of its divisors is an integer number (67813200).

Almost surely, 22671298740 is an apocalyptic number.

2671298740 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 2671298740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255033600).

2671298740 is an abundant number, since it is smaller than the sum of its proper divisors (3838768460).

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

2671298740 is a wasteful number, since it uses less digits than its factorization.

2671298740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 2671298740 is about 51684.6083471666. The cubic root of 2671298740 is about 1387.5250093157.

The spelling of 2671298740 in words is "two billion, six hundred seventy-one million, two hundred ninety-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 229 340 374 458 748 916 935 1145 1870 2290 2519 3119 3740 3893 4580 5038 6238 7786 10076 12476 12595 15572 15595 19465 25190 31190 34309 38930 42823 50380 53023 62380 68618 77860 85646 106046 137236 171292 171545 212092 214115 265115 343090 428230 530230 583253 686180 714251 856460 1060460 1166506 1428502 2333012 2857004 2916265 3571255 5832530 7142510 7856761 11665060 12142267 14285020 15713522 24284534 31427044 39283805 48569068 60711335 78567610 121422670 133564937 157135220 242845340 267129874 534259748 667824685 1335649370 2671298740