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2083640 = 235134007
BaseRepresentation
bin111111100101100111000
310220212012212
413330230320
51013134030
6112354252
723465516
oct7745470
93825185
102083640
1111a3519
12845988
1357c530
143c34b6
152b2595
hex1fcb38

2083640 has 32 divisors (see below), whose sum is σ = 5050080. Its totient is φ = 769152.

The previous prime is 2083591. The next prime is 2083643. The reversal of 2083640 is 463802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1484 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (157815).

22083640 is an apocalyptic number.

2083640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083640 is an abundant number, since it is smaller than the sum of its proper divisors (2966440).

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

2083640 is a wasteful number, since it uses less digits than its factorization.

2083640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2083640 is about 1443.4819015145. The cubic root of 2083640 is about 127.7245051330.

The spelling of 2083640 in words is "two million, eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4007 8014 16028 20035 32056 40070 52091 80140 104182 160280 208364 260455 416728 520910 1041820 2083640