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2983680 = 28325737
BaseRepresentation
bin1011011000011100000000
312121120211200
423120130000
51230434210
6143541200
734234530
oct13303400
95546750
102983680
111758757
12bba800
138060bb
145794c0
153de0c0
hex2d8700

2983680 has 216 divisors, whose sum is σ = 12116832. Its totient is φ = 663552.

The previous prime is 2983679. The next prime is 2983681. The reversal of 2983680 is 863892.

2983680 is a `hidden beast` number, since 298 + 368 + 0 = 666.

2983680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2983679) and next prime (2983681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2983681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80622 + ... + 80658.

22983680 is an apocalyptic number.

2983680 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 2983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058416).

2983680 is an abundant number, since it is smaller than the sum of its proper divisors (9133152).

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

2983680 is a wasteful number, since it uses less digits than its factorization.

2983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2983680 is about 1727.3332046829. Note that the first 3 decimals coincide. The cubic root of 2983680 is about 143.9629534329.

It can be divided in two parts, 2983 and 680, that added together give a palindrome (3663).

The spelling of 2983680 in words is "two million, nine hundred eighty-three thousand, six hundred eighty".