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2505780 = 2232513921
BaseRepresentation
bin1001100011110000110100
311201022021200
421203300310
51120141110
6125412500
730204324
oct11436064
94638250
102505780
1114616a2
12a0a130
13699714
14493284
153476c0
hex263c34

2505780 has 36 divisors (see below), whose sum is σ = 7601412. Its totient is φ = 668160.

The previous prime is 2505779. The next prime is 2505791. The reversal of 2505780 is 875052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 1313316 = 1092^2 + 1146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6781 + ... + 7140.

22505780 is an apocalyptic number.

2505780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505780 is an abundant number, since it is smaller than the sum of its proper divisors (5095632).

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

2505780 is a wasteful number, since it uses less digits than its factorization.

2505780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2505780 is about 1582.9655713249. The cubic root of 2505780 is about 135.8253958836.

The spelling of 2505780 in words is "two million, five hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13921 27842 41763 55684 69605 83526 125289 139210 167052 208815 250578 278420 417630 501156 626445 835260 1252890 2505780