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2116320 = 25354409
BaseRepresentation
bin1000000100101011100000
310222112001020
420010223200
51020210240
6113205440
723663013
oct10045340
93875036
102116320
111216028
12860880
1359137b
143d137a
152bc0d0
hex204ae0

2116320 has 48 divisors (see below), whose sum is σ = 6667920. Its totient is φ = 564224.

The previous prime is 2116307. The next prime is 2116327. The reversal of 2116320 is 236112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2116320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116327) 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 7 ways as a sum of consecutive naturals, for example, 1725 + ... + 2684.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

22116320 is an apocalyptic number.

2116320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116320 is an abundant number, since it is smaller than the sum of its proper divisors (4551600).

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

2116320 is a wasteful number, since it uses less digits than its factorization.

2116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2116320 is about 1454.7577117857. The cubic root of 2116320 is about 128.3887918323.

The spelling of 2116320 in words is "two million, one hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4409 8818 13227 17636 22045 26454 35272 44090 52908 66135 70544 88180 105816 132270 141088 176360 211632 264540 352720 423264 529080 705440 1058160 2116320