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2126320 = 24573797
BaseRepresentation
bin1000000111000111110000
311000000202121
420013013300
51021020240
6113324024
724034120
oct10070760
94000677
102126320
111222599
12866614
13595aa1
143d4c80
152c004a
hex2071f0

2126320 has 40 divisors (see below), whose sum is σ = 5651424. Its totient is φ = 728832.

The previous prime is 2126317. The next prime is 2126329. The reversal of 2126320 is 236212.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2126294 and 2126303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126329) 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, 1339 + ... + 2458.

22126320 is an apocalyptic number.

2126320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126320 is an abundant number, since it is smaller than the sum of its proper divisors (3525104).

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

2126320 is a wasteful number, since it uses less digits than its factorization.

2126320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2126320 is about 1458.1906596875. The cubic root of 2126320 is about 128.5906943499.

The spelling of 2126320 in words is "two million, one hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3797 7594 15188 18985 26579 30376 37970 53158 60752 75940 106316 132895 151880 212632 265790 303760 425264 531580 1063160 2126320