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945980 = 225729233
BaseRepresentation
bin11100110111100111100
31210001122022
43212330330
5220232410
632135312
711016650
oct3467474
91701568
10945980
11596802
12397538
13271769
141a8a60
1513a455
hexe6f3c

945980 has 48 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 311808.

The previous prime is 945961. The next prime is 945983. The reversal of 945980 is 89549.

945980 = T39 + T40 + ... + T178.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 945980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3944 + ... + 4176.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2945980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

945980 is an abundant number, since it is smaller than the sum of its proper divisors (1412740).

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

945980 is a wasteful number, since it uses less digits than its factorization.

945980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

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

The square root of 945980 is about 972.6150317572. The cubic root of 945980 is about 98.1658997554.

945980 divided by its sum of digits (35) gives a triangular number (27028 = T232).

The spelling of 945980 in words is "nine hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 233 290 406 466 580 812 932 1015 1165 1631 2030 2330 3262 4060 4660 6524 6757 8155 13514 16310 27028 32620 33785 47299 67570 94598 135140 189196 236495 472990 945980