Search a number
-
+
1986560 = 212597
BaseRepresentation
bin111100101000000000000
310201221001022
413211000000
51002032220
6110325012
722612502
oct7450000
93657038
101986560
111137594
127b9768
135472a4
14399d72
15293925
hex1e5000

1986560 has 52 divisors (see below), whose sum is σ = 4816308. Its totient is φ = 786432.

The previous prime is 1986553. The next prime is 1986577. The reversal of 1986560 is 656891.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 1183744 = 896^2 + 1088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1986560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20432 + ... + 20528.

21986560 is an apocalyptic number.

1986560 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 1986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408154).

1986560 is an abundant number, since it is smaller than the sum of its proper divisors (2829748).

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

1986560 is an frugal number, since it uses more digits than its factorization.

1986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1986560 is about 1409.4537949149. The cubic root of 1986560 is about 125.7092481256.

The spelling of 1986560 in words is "one million, nine hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 512 640 776 970 1024 1280 1552 1940 2048 2560 3104 3880 4096 5120 6208 7760 10240 12416 15520 20480 24832 31040 49664 62080 99328 124160 198656 248320 397312 496640 993280 1986560