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2135874 = 2313139197
BaseRepresentation
bin1000001001011101000010
311000111212110
420021131002
51021321444
6113440150
724104016
oct10113502
94014773
102135874
111229794
12870056
1359a240
143d8546
152c2cb9
hex209742

2135874 has 32 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 649152.

The previous prime is 2135857. The next prime is 2135891. The reversal of 2135874 is 4785312.

It is an interprime number because it is at equal distance from previous prime (2135857) and next prime (2135891).

It is a d-powerful number, because it can be written as 220 + 1 + 36 + 54 + 86 + 77 + 44 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10744 + ... + 10940.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

22135874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2135874 is an abundant number, since it is smaller than the sum of its proper divisors (2521086).

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

2135874 is a wasteful number, since it uses less digits than its factorization.

2135874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354.

The product of its digits is 6720, while the sum is 30.

The square root of 2135874 is about 1461.4629656615. The cubic root of 2135874 is about 128.7830015632.

The spelling of 2135874 in words is "two million, one hundred thirty-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 78 139 197 278 394 417 591 834 1182 1807 2561 3614 5122 5421 7683 10842 15366 27383 54766 82149 164298 355979 711958 1067937 2135874