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2983640 = 235116781
BaseRepresentation
bin1011011000011011011000
312121120210012
423120123120
51230434030
6143541052
734234442
oct13303330
95546705
102983640
111758720
12bba788
1380608a
14579492
153de095
hex2d86d8

2983640 has 32 divisors (see below), whose sum is σ = 7324560. Its totient is φ = 1084800.

The previous prime is 2983639. The next prime is 2983661. The reversal of 2983640 is 463892.

2983640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2983597 and 2983606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2951 + ... + 3830.

22983640 is an apocalyptic number.

2983640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2983640 is an abundant number, since it is smaller than the sum of its proper divisors (4340920).

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

2983640 is a wasteful number, since it uses less digits than its factorization.

2983640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6799 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2983640 is about 1727.3216261021. The cubic root of 2983640 is about 143.9623100949.

The spelling of 2983640 in words is "two million, nine hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 6781 13562 27124 33905 54248 67810 74591 135620 149182 271240 298364 372955 596728 745910 1491820 2983640