Search a number
-
+
4280980 = 2251122961
BaseRepresentation
bin10000010101001010010100
322001111101211
4100111022110
52043442410
6231431204
751246664
oct20251224
98044354
104280980
112464400
121525504
13b6b732
147d61a4
1559868a
hex415294

4280980 has 72 divisors (see below), whose sum is σ = 10389960. Its totient is φ = 1478400.

The previous prime is 4280971. The next prime is 4280999. The reversal of 4280980 is 890824.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 4276624 = 66^2 + 2068^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70150 + ... + 70210.

It is an arithmetic number, because the mean of its divisors is an integer number (144305).

Almost surely, 24280980 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 4280980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194980).

4280980 is an abundant number, since it is smaller than the sum of its proper divisors (6108980).

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

4280980 is a wasteful number, since it uses less digits than its factorization.

4280980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4280980 is about 2069.0529234411. The cubic root of 4280980 is about 162.3732186661.

The spelling of 4280980 in words is "four million, two hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 61 110 116 121 122 145 220 242 244 290 305 319 484 580 605 610 638 671 1210 1220 1276 1342 1595 1769 2420 2684 3190 3355 3509 3538 6380 6710 7018 7076 7381 8845 13420 14036 14762 17545 17690 19459 29524 35090 35380 36905 38918 70180 73810 77836 97295 147620 194590 214049 389180 428098 856196 1070245 2140490 4280980