Search a number
-
+
1990080 = 26325691
BaseRepresentation
bin111100101110111000000
310202002212200
413211313000
51002140310
6110353200
722625661
oct7456700
93662780
101990080
11113a1a4
127bb800
13548a81
1439b368
152949c0
hex1e5dc0

1990080 has 84 divisors (see below), whose sum is σ = 6854952. Its totient is φ = 529920.

The previous prime is 1990069. The next prime is 1990081. The reversal of 1990080 is 800991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2535 + ... + 3225.

21990080 is an apocalyptic number.

1990080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1990080 is the 1152-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427476).

1990080 is an abundant number, since it is smaller than the sum of its proper divisors (4864872).

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

1990080 is a wasteful number, since it uses less digits than its factorization.

1990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1990080 is about 1410.7019529298. The cubic root of 1990080 is about 125.7834526896.

The spelling of 1990080 in words is "one million, nine hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 691 720 960 1382 1440 2073 2764 2880 3455 4146 5528 6219 6910 8292 10365 11056 12438 13820 16584 20730 22112 24876 27640 31095 33168 41460 44224 49752 55280 62190 66336 82920 99504 110560 124380 132672 165840 199008 221120 248760 331680 398016 497520 663360 995040 1990080