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2082640 = 24573719
BaseRepresentation
bin111111100011101010000
310220210211211
413330131100
51013121030
6112345504
723462560
oct7743520
93823754
102082640
1111a279a
12845294
1357bc41
143c2da0
152b212a
hex1fc750

2082640 has 40 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 713856.

The previous prime is 2082631. The next prime is 2082649. The reversal of 2082640 is 462802.

It is an interprime number because it is at equal distance from previous prime (2082631) and next prime (2082649).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082649) 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, 1300 + ... + 2419.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

22082640 is an apocalyptic number.

2082640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082640 is an abundant number, since it is smaller than the sum of its proper divisors (3452720).

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

2082640 is a wasteful number, since it uses less digits than its factorization.

2082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2082640 is about 1443.1354752760. The cubic root of 2082640 is about 127.7040689503.

The spelling of 2082640 in words is "two million, eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3719 7438 14876 18595 26033 29752 37190 52066 59504 74380 104132 130165 148760 208264 260330 297520 416528 520660 1041320 2082640