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1989520 = 245131913
BaseRepresentation
bin111100101101110010000
310202002002221
413211232100
51002131040
6110350424
722624231
oct7455620
93662087
101989520
111139835
127bb414
13548740
1439b088
1529474a
hex1e5b90

1989520 has 40 divisors (see below), whose sum is σ = 4984056. Its totient is φ = 734208.

The previous prime is 1989517. The next prime is 1989551. The reversal of 1989520 is 259891.

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 1774224 = 464^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 84 + ... + 1996.

21989520 is an apocalyptic number.

1989520 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 1989520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492028).

1989520 is an abundant number, since it is smaller than the sum of its proper divisors (2994536).

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

1989520 is a wasteful number, since it uses less digits than its factorization.

1989520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 1989520 is about 1410.5034562170. The cubic root of 1989520 is about 125.7716532742.

The spelling of 1989520 in words is "one million, nine hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1913 3826 7652 9565 15304 19130 24869 30608 38260 49738 76520 99476 124345 153040 198952 248690 397904 497380 994760 1989520