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2146980 = 2235113253
BaseRepresentation
bin1000001100001010100100
311001002002210
420030022210
51022200410
6114003420
724151263
oct10141244
94032083
102146980
111237070
12876570
135a2304
143dc5da
152c6220
hex20c2a4

2146980 has 48 divisors (see below), whose sum is σ = 6560064. Its totient is φ = 520320.

The previous prime is 2146979. The next prime is 2146987. The reversal of 2146980 is 896412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2146987) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 967 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (136668).

22146980 is an apocalyptic number.

2146980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146980 is an abundant number, since it is smaller than the sum of its proper divisors (4413084).

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

2146980 is a wasteful number, since it uses less digits than its factorization.

2146980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2146980 is about 1465.2576565232. The cubic root of 2146980 is about 129.0058287133.

The spelling of 2146980 in words is "two million, one hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3253 6506 9759 13012 16265 19518 32530 35783 39036 48795 65060 71566 97590 107349 143132 178915 195180 214698 357830 429396 536745 715660 1073490 2146980