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1032980 = 2251329137
BaseRepresentation
bin11111100001100010100
31221110222112
43330030110
5231023410
634050152
711531414
oct3741424
91843875
101032980
11646103
12419958
132a2240
141cc644
15156105
hexfc314

1032980 has 48 divisors (see below), whose sum is σ = 2434320. Its totient is φ = 365568.

The previous prime is 1032961. The next prime is 1033001. The reversal of 1032980 is 892301.

1032980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 44944 + 988036 = 212^2 + 994^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7472 + ... + 7608.

It is an arithmetic number, because the mean of its divisors is an integer number (50715).

21032980 is an apocalyptic number.

1032980 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 1032980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217160).

1032980 is an abundant number, since it is smaller than the sum of its proper divisors (1401340).

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

1032980 is a wasteful number, since it uses less digits than its factorization.

1032980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1032980 is about 1016.3562367595. The cubic root of 1032980 is about 101.0874646721.

The spelling of 1032980 in words is "one million, thirty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 137 145 260 274 290 377 548 580 685 754 1370 1508 1781 1885 2740 3562 3770 3973 7124 7540 7946 8905 15892 17810 19865 35620 39730 51649 79460 103298 206596 258245 516490 1032980