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2525640 = 2335131619
BaseRepresentation
bin1001101000100111001000
311202022112020
421220213020
51121310030
6130044440
730316245
oct11504710
94668466
102525640
111475607
12a19720
136a5780
1449a5cc
1534d510
hex2689c8

2525640 has 64 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 621312.

The previous prime is 2525629. The next prime is 2525647. The reversal of 2525640 is 465252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2525640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525647) 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, 751 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

22525640 is an apocalyptic number.

2525640 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 2525640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2525640 is an abundant number, since it is smaller than the sum of its proper divisors (5639160).

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

2525640 is a wasteful number, since it uses less digits than its factorization.

2525640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2525640 is about 1589.2262268161. The cubic root of 2525640 is about 136.1832880494.

The spelling of 2525640 in words is "two million, five hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1619 3238 4857 6476 8095 9714 12952 16190 19428 21047 24285 32380 38856 42094 48570 63141 64760 84188 97140 105235 126282 168376 194280 210470 252564 315705 420940 505128 631410 841880 1262820 2525640