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2365980 = 223547839
BaseRepresentation
bin1001000001101000011100
311110012111220
421001220130
51101202410
6122413340
726052621
oct11015034
94405456
102365980
111376661
12961250
1364abb6
14458348
1531b070
hex241a1c

2365980 has 48 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 616768.

The previous prime is 2365969. The next prime is 2365981. The reversal of 2365980 is 895632.

It is a happy number.

It is a super-2 number, since 2×23659802 = 11195722720800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2365981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2401 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

22365980 is an apocalyptic number.

2365980 is a gapful number since it is divisible by the number (20) 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 2365980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2365980 is an abundant number, since it is smaller than the sum of its proper divisors (4407780).

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

2365980 is a wasteful number, since it uses less digits than its factorization.

2365980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2365980 is about 1538.1742424056. The cubic root of 2365980 is about 133.2509630128.

It can be divided in two parts, 236 and 5980, that added together give a triangular number (6216 = T111).

The spelling of 2365980 in words is "two million, three hundred sixty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 839 940 1410 1678 2517 2820 3356 4195 5034 8390 10068 12585 16780 25170 39433 50340 78866 118299 157732 197165 236598 394330 473196 591495 788660 1182990 2365980