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2816040 = 233531757
BaseRepresentation
bin1010101111100000101000
312022001212210
422233200220
51210103130
6140205120
732636013
oct12574050
95261783
102816040
111653807
12b397a0
137779c6
1453437a
153a95b0
hex2af828

2816040 has 64 divisors (see below), whose sum is σ = 8732160. Its totient is φ = 725760.

The previous prime is 2816029. The next prime is 2816053. The reversal of 2816040 is 406182.

It is a junction number, because it is equal to n+sod(n) for n = 2815998 and 2816016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3342 + ... + 4098.

It is an arithmetic number, because the mean of its divisors is an integer number (136440).

22816040 is an apocalyptic number.

2816040 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 2816040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366080).

2816040 is an abundant number, since it is smaller than the sum of its proper divisors (5916120).

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

2816040 is a wasteful number, since it uses less digits than its factorization.

2816040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2816040 is about 1678.1060753123. The cubic root of 2816040 is about 141.2146020365.

The spelling of 2816040 in words is "two million, eight hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 757 930 1240 1514 1860 2271 3028 3720 3785 4542 6056 7570 9084 11355 15140 18168 22710 23467 30280 45420 46934 70401 90840 93868 117335 140802 187736 234670 281604 352005 469340 563208 704010 938680 1408020 2816040