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2890836 = 2233132971
BaseRepresentation
bin1011000001110001010100
312102212111000
423001301110
51220001321
6141543300
733400044
oct13016124
95385430
102890836
1116a4a23
12b74b30
137a2a70
14553724
153c1826
hex2c1c54

2890836 has 96 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 846720.

The previous prime is 2890813. The next prime is 2890861. The reversal of 2890836 is 6380982.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2890836.

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, 40681 + ... + 40751.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

22890836 is an apocalyptic number.

2890836 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 2890836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

2890836 is an abundant number, since it is smaller than the sum of its proper divisors (5576364).

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

2890836 is a wasteful number, since it uses less digits than its factorization.

2890836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2890836 is about 1700.2458645737. The cubic root of 2890836 is about 142.4539463367.

The spelling of 2890836 in words is "two million, eight hundred ninety thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 71 78 87 108 116 117 142 156 174 213 234 261 284 348 351 377 426 468 522 639 702 754 783 852 923 1044 1131 1278 1404 1508 1566 1846 1917 2059 2262 2556 2769 3132 3393 3692 3834 4118 4524 5538 6177 6786 7668 8236 8307 10179 11076 12354 13572 16614 18531 20358 24708 24921 26767 33228 37062 40716 49842 53534 55593 74124 80301 99684 107068 111186 160602 222372 240903 321204 481806 722709 963612 1445418 2890836