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2502990 = 2325729137
BaseRepresentation
bin1001100011000101001110
311201011110100
421203011032
51120043430
6125351530
730163230
oct11430516
94634410
102502990
11145a596
12a085a6
13698379
14492250
15346960
hex26314e

2502990 has 96 divisors (see below), whose sum is σ = 7750080. Its totient is φ = 548352.

The previous prime is 2502953. The next prime is 2502991. The reversal of 2502990 is 992052.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18202 + ... + 18338.

It is an arithmetic number, because the mean of its divisors is an integer number (80730).

22502990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875040).

2502990 is an abundant number, since it is smaller than the sum of its proper divisors (5247090).

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

2502990 is a wasteful number, since it uses less digits than its factorization.

2502990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2502990 is about 1582.0840685627. The cubic root of 2502990 is about 135.7749666644.

It can be divided in two parts, 250 and 2990, that added together give a triangular number (3240 = T80).

The spelling of 2502990 in words is "two million, five hundred two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 137 145 174 203 210 261 274 290 315 406 411 435 522 609 630 685 822 870 959 1015 1218 1233 1305 1370 1827 1918 2030 2055 2466 2610 2877 3045 3654 3973 4110 4795 5754 6090 6165 7946 8631 9135 9590 11919 12330 14385 17262 18270 19865 23838 27811 28770 35757 39730 43155 55622 59595 71514 83433 86310 119190 139055 166866 178785 250299 278110 357570 417165 500598 834330 1251495 2502990