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2185040 = 2451113191
BaseRepresentation
bin1000010101011101010000
311010000022102
420111131100
51024410130
6114455532
724400244
oct10253520
94100272
102185040
111262720
128945a8
135b6730
1440c424
152d2645
hex215750

2185040 has 80 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 729600.

The previous prime is 2185037. The next prime is 2185091. The reversal of 2185040 is 405812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 11345 + ... + 11535.

22185040 is an apocalyptic number.

2185040 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 2185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2185040 is an abundant number, since it is smaller than the sum of its proper divisors (3814576).

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

2185040 is a wasteful number, since it uses less digits than its factorization.

2185040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2185040 is about 1478.1880800494. The cubic root of 2185040 is about 129.7636732063.

The spelling of 2185040 in words is "two million, one hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 191 208 220 260 286 382 440 520 572 715 764 880 955 1040 1144 1430 1528 1910 2101 2288 2483 2860 3056 3820 4202 4966 5720 7640 8404 9932 10505 11440 12415 15280 16808 19864 21010 24830 27313 33616 39728 42020 49660 54626 84040 99320 109252 136565 168080 198640 218504 273130 437008 546260 1092520 2185040