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2131980 = 223535533
BaseRepresentation
bin1000001000100000001100
311000022112020
420020200030
51021210410
6113410140
724056454
oct10104014
94008466
102131980
111226874
12869950
13598536
143d6d64
152c1a70
hex20880c

2131980 has 24 divisors (see below), whose sum is σ = 5969712. Its totient is φ = 568512.

The previous prime is 2131979. The next prime is 2131981. The reversal of 2131980 is 891312.

It is an interprime number because it is at equal distance from previous prime (2131979) and next prime (2131981).

It is a self number, because there is not a number n which added to its sum of digits gives 2131980.

It is not an unprimeable number, because it can be changed into a prime (2131981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17707 + ... + 17826.

It is an arithmetic number, because the mean of its divisors is an integer number (248738).

22131980 is an apocalyptic number.

2131980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131980 is an abundant number, since it is smaller than the sum of its proper divisors (3837732).

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

2131980 is a wasteful number, since it uses less digits than its factorization.

2131980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35545 (or 35543 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2131980 is about 1460.1301311869. The cubic root of 2131980 is about 128.7046907524.

The spelling of 2131980 in words is "two million, one hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 35533 71066 106599 142132 177665 213198 355330 426396 532995 710660 1065990 2131980