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2086320 = 24358693
BaseRepresentation
bin111111101010110110000
310220222220010
413331112300
51013230240
6112414520
723506365
oct7752660
93828803
102086320
1111a5535
12847440
13580812
143c446c
152b3280
hex1fd5b0

2086320 has 40 divisors (see below), whose sum is σ = 6468336. Its totient is φ = 556288.

The previous prime is 2086303. The next prime is 2086321. The reversal of 2086320 is 236802.

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

It is a super-2 number, since 2×20863202 = 8705462284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2086321) 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, 4107 + ... + 4586.

22086320 is an apocalyptic number.

2086320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2086320 is an abundant number, since it is smaller than the sum of its proper divisors (4382016).

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

2086320 is a wasteful number, since it uses less digits than its factorization.

2086320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2086320 is about 1444.4099141172. The cubic root of 2086320 is about 127.7792418792.

The spelling of 2086320 in words is "two million, eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8693 17386 26079 34772 43465 52158 69544 86930 104316 130395 139088 173860 208632 260790 347720 417264 521580 695440 1043160 2086320