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2136084 = 2231737283
BaseRepresentation
bin1000001001100000010100
311000112011020
420021200110
51021323314
6113441140
724104436
oct10114024
94015136
102136084
111229965
128701b0
1359a372
143d8656
152c2da9
hex209814

2136084 has 48 divisors (see below), whose sum is σ = 5439168. Its totient is φ = 649728.

The previous prime is 2136083. The next prime is 2136091. The reversal of 2136084 is 4806312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7407 + ... + 7689.

It is an arithmetic number, because the mean of its divisors is an integer number (113316).

22136084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719584).

2136084 is an abundant number, since it is smaller than the sum of its proper divisors (3303084).

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

2136084 is a wasteful number, since it uses less digits than its factorization.

2136084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2136084 is about 1461.5348097120. The cubic root of 2136084 is about 128.7872220905.

The spelling of 2136084 in words is "two million, one hundred thirty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 283 444 566 629 849 1132 1258 1698 1887 2516 3396 3774 4811 7548 9622 10471 14433 19244 20942 28866 31413 41884 57732 62826 125652 178007 356014 534021 712028 1068042 2136084