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2184880 = 24531881
BaseRepresentation
bin1000010101011010110000
311010000002111
420111122300
51024404010
6114455104
724366625
oct10253260
94100074
102184880
111262595
12894494
135b6639
1440c34c
152d258a
hex2156b0

2184880 has 40 divisors (see below), whose sum is σ = 5249664. Its totient is φ = 844800.

The previous prime is 2184877. The next prime is 2184881. The reversal of 2184880 is 884812.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21848802 = 9547401228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (2184881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2040 + ... + 2920.

22184880 is an apocalyptic number.

2184880 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 2184880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832).

2184880 is an abundant number, since it is smaller than the sum of its proper divisors (3064784).

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

2184880 is a wasteful number, since it uses less digits than its factorization.

2184880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 2184880 is about 1478.1339587466. The cubic root of 2184880 is about 129.7605058052.

The spelling of 2184880 in words is "two million, one hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 881 1240 1762 2480 3524 4405 7048 8810 14096 17620 27311 35240 54622 70480 109244 136555 218488 273110 436976 546220 1092440 2184880