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2134040 = 235311721
BaseRepresentation
bin1000001001000000011000
311000102100112
420021000120
51021242130
6113423452
724065456
oct10110030
94012315
102134040
111228377
1286ab88
1359945c
143d79d6
152c2495
hex209018

2134040 has 32 divisors (see below), whose sum is σ = 4959360. Its totient is φ = 825600.

The previous prime is 2134021. The next prime is 2134063. The reversal of 2134040 is 404312.

Adding to 2134040 its reverse (404312), we get a palindrome (2538352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

22134040 is an apocalyptic number.

2134040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479680).

2134040 is an abundant number, since it is smaller than the sum of its proper divisors (2825320).

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

2134040 is a wasteful number, since it uses less digits than its factorization.

2134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2134040 is about 1460.8353774468. The cubic root of 2134040 is about 128.7461305275.

The spelling of 2134040 in words is "two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1721 3442 6884 8605 13768 17210 34420 53351 68840 106702 213404 266755 426808 533510 1067020 2134040