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2010660540 = 2235710744741
BaseRepresentation
bin111011111011000…
…0011111010111100
312012010102010201220
41313312003322330
513104212114130
6531303233340
7100553222040
oct16766037274
95163363656
102010660540
11941a69029
12481448850
1326073a785
14151072020
15bb7bb410
hex77d83ebc

2010660540 has 96 divisors (see below), whose sum is σ = 6494390784. Its totient is φ = 455274240.

The previous prime is 2010660539. The next prime is 2010660557. The reversal of 2010660540 is 450660102.

It is a super-2 number, since 2×20106605402 = 8085511614226183200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2010660540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22570 + ... + 67310.

It is an arithmetic number, because the mean of its divisors is an integer number (67649904).

Almost surely, 22010660540 is an apocalyptic number.

2010660540 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 2010660540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247195392).

2010660540 is an abundant number, since it is smaller than the sum of its proper divisors (4483730244).

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

2010660540 is a wasteful number, since it uses less digits than its factorization.

2010660540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44867 (or 44865 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2010660540 is about 44840.3896058007. The cubic root of 2010660540 is about 1262.1556573565.

The spelling of 2010660540 in words is "two billion, ten million, six hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1284 1498 1605 2140 2247 2996 3210 3745 4494 6420 7490 8988 11235 14980 22470 44741 44940 89482 134223 178964 223705 268446 313187 447410 536892 626374 671115 894820 939561 1252748 1342230 1565935 1879122 2684460 3131870 3758244 4697805 4787287 6263740 9395610 9574574 14361861 18791220 19149148 23936435 28723722 33511009 47872870 57447444 67022018 71809305 95745740 100533027 134044036 143618610 167555045 201066054 287237220 335110090 402132108 502665135 670220180 1005330270 2010660540