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1890980 = 2257131039
BaseRepresentation
bin111001101101010100100
310120001221022
413031222210
5441002410
6104310312
722034030
oct7155244
93501838
101890980
1110817a3
12772398
13512930
143731c0
15275455
hex1cdaa4

1890980 has 48 divisors (see below), whose sum is σ = 4892160. Its totient is φ = 597888.

The previous prime is 1890953. The next prime is 1890997. The reversal of 1890980 is 890981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1890980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

21890980 is an apocalyptic number.

1890980 is a gapful number since it is divisible by the number (10) 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 1890980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446080).

1890980 is an abundant number, since it is smaller than the sum of its proper divisors (3001180).

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

1890980 is a wasteful number, since it uses less digits than its factorization.

1890980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 1890980 is about 1375.1290848499. The cubic root of 1890980 is about 123.6599249293.

Subtracting from 1890980 its reverse (890981), we obtain a palindrome (999999).

The spelling of 1890980 in words is "one million, eight hundred ninety thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1039 1820 2078 4156 5195 7273 10390 13507 14546 20780 27014 29092 36365 54028 67535 72730 94549 135070 145460 189098 270140 378196 472745 945490 1890980