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2842740 = 2232517929
BaseRepresentation
bin1010110110000001110100
312100102111200
422312001310
51211431430
6140532500
733106605
oct12660164
95312450
102842740
11167187a
12b51130
13786bc4
1453ddac
153b2460
hex2b6074

2842740 has 72 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 712704.

The previous prime is 2842739. The next prime is 2842751. The reversal of 2842740 is 472482.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 2782224 = 246^2 + 1668^2 .

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, 2596 + ... + 3524.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

22842740 is an apocalyptic number.

2842740 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 2842740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

2842740 is an abundant number, since it is smaller than the sum of its proper divisors (6297300).

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

2842740 is a wasteful number, since it uses less digits than its factorization.

2842740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2842740 is about 1686.0427040855. The cubic root of 2842740 is about 141.6595029057.

The spelling of 2842740 in words is "two million, eight hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 929 1020 1530 1858 2787 3060 3716 4645 5574 8361 9290 11148 13935 15793 16722 18580 27870 31586 33444 41805 47379 55740 63172 78965 83610 94758 142137 157930 167220 189516 236895 284274 315860 473790 568548 710685 947580 1421370 2842740