Search a number
-
+
1045980 = 2233513149
BaseRepresentation
bin11111111010111011100
31222010211000
43333113130
5231432410
634230300
711614335
oct3772734
91863730
101045980
11654951
12425390
132a8130
141d328c
15159dc0
hexff5dc

1045980 has 96 divisors (see below), whose sum is σ = 3528000. Its totient is φ = 255744.

The previous prime is 1045963. The next prime is 1045981. The reversal of 1045980 is 895401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6946 + ... + 7094.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

21045980 is an apocalyptic number.

1045980 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 1045980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764000).

1045980 is an abundant number, since it is smaller than the sum of its proper divisors (2482020).

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

1045980 is a wasteful number, since it uses less digits than its factorization.

1045980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1045980 is about 1022.7316363543. The cubic root of 1045980 is about 101.5097582568.

It can be divided in two parts, 1045 and 980, that added together give a square (2025 = 452).

The spelling of 1045980 in words is "one million, forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 149 156 180 195 234 260 270 298 351 390 447 468 540 585 596 702 745 780 894 1170 1341 1404 1490 1755 1788 1937 2235 2340 2682 2980 3510 3874 4023 4470 5364 5811 6705 7020 7748 8046 8940 9685 11622 13410 16092 17433 19370 20115 23244 26820 29055 34866 38740 40230 52299 58110 69732 80460 87165 104598 116220 174330 209196 261495 348660 522990 1045980