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2180896 = 251719211
BaseRepresentation
bin1000010100011100100000
311002210121221
420110130200
51024242041
6114424424
724352204
oct10243440
94083557
102180896
11125a5a3
12892114
135b4893
1440ab04
152d12d1
hex214720

2180896 has 48 divisors (see below), whose sum is σ = 4808160. Its totient is φ = 967680.

The previous prime is 2180873. The next prime is 2180911. The reversal of 2180896 is 6980812.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10231 + ... + 10441.

It is an arithmetic number, because the mean of its divisors is an integer number (100170).

22180896 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 2180896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404080).

2180896 is an abundant number, since it is smaller than the sum of its proper divisors (2627264).

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

2180896 is a wasteful number, since it uses less digits than its factorization.

2180896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 2180896 is about 1476.7856987390. The cubic root of 2180896 is about 129.6815876048.

It can be divided in two parts, 21808 and 96, that added together give a square (21904 = 1482).

The spelling of 2180896 in words is "two million, one hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 211 272 304 323 422 544 608 646 844 1292 1688 2584 3376 3587 4009 5168 6752 7174 8018 10336 14348 16036 28696 32072 57392 64144 68153 114784 128288 136306 272612 545224 1090448 2180896