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2720816 = 247171429
BaseRepresentation
bin1010011000010000110000
312010020020222
422120100300
51144031231
6134152212
732061260
oct12302060
95106228
102720816
11159920a
12ab2668
13743567
1450b7a0
1538b27b
hex298430

2720816 has 40 divisors (see below), whose sum is σ = 6383520. Its totient is φ = 1096704.

The previous prime is 2720807. The next prime is 2720821. The reversal of 2720816 is 6180272.

2720816 is a modest number, since divided by 816 gives 272 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1190 + ... + 2618.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

22720816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191760).

2720816 is an abundant number, since it is smaller than the sum of its proper divisors (3662704).

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

2720816 is a wasteful number, since it uses less digits than its factorization.

2720816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2720816 is about 1649.4896180334. The cubic root of 2720816 is about 139.6045986066.

The spelling of 2720816 in words is "two million, seven hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1429 1904 2858 5716 10003 11432 20006 22864 24293 40012 48586 80024 97172 160048 170051 194344 340102 388688 680204 1360408 2720816