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2126340 = 2232511813
BaseRepresentation
bin1000000111001000000100
311000000210100
420013020010
51021020330
6113324100
724034146
oct10071004
94000710
102126340
111222607
12866630
13595ab8
143d4c96
152c0060
hex207204

2126340 has 36 divisors (see below), whose sum is σ = 6450444. Its totient is φ = 566976.

The previous prime is 2126339. The next prime is 2126351. The reversal of 2126340 is 436212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 799236 + 1327104 = 894^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 213 + 1 + 221 + 64 + 39 + 42 + 0 .

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5727 + ... + 6086.

It is an arithmetic number, because the mean of its divisors is an integer number (179179).

22126340 is an apocalyptic number.

2126340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126340 is an abundant number, since it is smaller than the sum of its proper divisors (4324104).

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

2126340 is a wasteful number, since it uses less digits than its factorization.

2126340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2126340 is about 1458.1975174852. The cubic root of 2126340 is about 128.5910975200.

The spelling of 2126340 in words is "two million, one hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11813 23626 35439 47252 59065 70878 106317 118130 141756 177195 212634 236260 354390 425268 531585 708780 1063170 2126340