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2148020 = 225767229
BaseRepresentation
bin1000001100011010110100
311001010112022
420030122310
51022214040
6114012312
724154310
oct10143264
94033468
102148020
111237926
12877098
135a2924
143dcb40
152c66b5
hex20c6b4

2148020 has 48 divisors (see below), whose sum is σ = 5255040. Its totient is φ = 722304.

The previous prime is 2148019. The next prime is 2148043. The reversal of 2148020 is 208412.

It is a super-2 number, since 2×21480202 = 9227979840800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2148020.

It is a congruent number.

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, 9266 + ... + 9494.

It is an arithmetic number, because the mean of its divisors is an integer number (109480).

22148020 is an apocalyptic number.

2148020 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 2148020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627520).

2148020 is an abundant number, since it is smaller than the sum of its proper divisors (3107020).

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

2148020 is a wasteful number, since it uses less digits than its factorization.

2148020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2148020 is about 1465.6124999467. The cubic root of 2148020 is about 129.0266555498.

The spelling of 2148020 in words is "two million, one hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 229 268 335 458 469 670 916 938 1145 1340 1603 1876 2290 2345 3206 4580 4690 6412 8015 9380 15343 16030 30686 32060 61372 76715 107401 153430 214802 306860 429604 537005 1074010 2148020