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2146896 = 243217877
BaseRepresentation
bin1000001100001001010000
311001001222200
420030021100
51022200041
6114003200
724151113
oct10141120
94031880
102146896
111236aa4
12876500
135a226b
143dc57a
152c61b6
hex20c250

2146896 has 60 divisors (see below), whose sum is σ = 6369012. Its totient is φ = 672768.

The previous prime is 2146853. The next prime is 2146897. The reversal of 2146896 is 6986412.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 404496 = 1320^2 + 636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 211 + 1 + 45 + 6 + 87 + 9 + 66 .

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2146896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2010 + ... + 2886.

22146896 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 2146896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184506).

2146896 is an abundant number, since it is smaller than the sum of its proper divisors (4222116).

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

2146896 is a wasteful number, since it uses less digits than its factorization.

2146896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 899 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2146896 is about 1465.2289923422. The cubic root of 2146896 is about 129.0041462522.

The spelling of 2146896 in words is "two million, one hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 877 1224 1754 2448 2631 3508 5262 7016 7893 10524 14032 14909 15786 21048 29818 31572 42096 44727 59636 63144 89454 119272 126288 134181 178908 238544 268362 357816 536724 715632 1073448 2146896