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2563980 = 2235151283
BaseRepresentation
bin1001110001111110001100
311211021010020
421301332030
51124021410
6130542140
730536106
oct11617614
94737106
102563980
1114a13a1
12a37950
136ba063
144aa576
15359a70
hex271f8c

2563980 has 48 divisors (see below), whose sum is σ = 7252224. Its totient is φ = 676800.

The previous prime is 2563969. The next prime is 2563997. The reversal of 2563980 is 893652.

It is a happy number.

2563980 is a nontrivial binomial coefficient, being equal to C(2265, 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, 8919 + ... + 9201.

It is an arithmetic number, because the mean of its divisors is an integer number (151088).

22563980 is an apocalyptic number.

2563980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2563980 is the 2264-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626112).

2563980 is an abundant number, since it is smaller than the sum of its proper divisors (4688244).

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

2563980 is a wasteful number, since it uses less digits than its factorization.

2563980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

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

The square root of 2563980 is about 1601.2432669648. The cubic root of 2563980 is about 136.8689317799.

The spelling of 2563980 in words is "two million, five hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 283 302 453 566 604 755 849 906 1132 1415 1510 1698 1812 2265 2830 3020 3396 4245 4530 5660 8490 9060 16980 42733 85466 128199 170932 213665 256398 427330 512796 640995 854660 1281990 2563980