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2887880 = 235234373
BaseRepresentation
bin1011000001000011001000
312102201102112
423001003020
51214403010
6141521452
733355322
oct13010310
95381375
102887880
1116a2786
12b73288
137a1608
14552612
153c0a05
hex2c10c8

2887880 has 64 divisors (see below), whose sum is σ = 7032960. Its totient is φ = 1064448.

The previous prime is 2887879. The next prime is 2887883. The reversal of 2887880 is 887882.

It is not an unprimeable number, because it can be changed into a prime (2887883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39524 + ... + 39596.

It is an arithmetic number, because the mean of its divisors is an integer number (109890).

22887880 is an apocalyptic number.

2887880 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 2887880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516480).

2887880 is an abundant number, since it is smaller than the sum of its proper divisors (4145080).

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

2887880 is a wasteful number, since it uses less digits than its factorization.

2887880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The square root of 2887880 is about 1699.3763561966. The cubic root of 2887880 is about 142.4053747498.

The spelling of 2887880 in words is "two million, eight hundred eighty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 73 86 92 115 146 172 184 215 230 292 344 365 430 460 584 730 860 920 989 1460 1679 1720 1978 2920 3139 3358 3956 4945 6278 6716 7912 8395 9890 12556 13432 15695 16790 19780 25112 31390 33580 39560 62780 67160 72197 125560 144394 288788 360985 577576 721970 1443940 2887880