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2402790 = 2351361101
BaseRepresentation
bin1001001010100111100110
311112002000020
421022213212
51103342130
6123300010
726265135
oct11124746
94462006
102402790
1113a1285
1297a606
13661890
1446791c
15326e10
hex24a9e6

2402790 has 64 divisors (see below), whose sum is σ = 6374592. Its totient is φ = 576000.

The previous prime is 2402789. The next prime is 2402791. The reversal of 2402790 is 972042.

2402790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2402789) and next prime (2402791).

It is a self number, because there is not a number n which added to its sum of digits gives 2402790.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23740 + ... + 23840.

It is an arithmetic number, because the mean of its divisors is an integer number (99603).

22402790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187296).

2402790 is an abundant number, since it is smaller than the sum of its proper divisors (3971802).

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

2402790 is a wasteful number, since it uses less digits than its factorization.

2402790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2402790 is about 1550.0935455643. The cubic root of 2402790 is about 133.9384509791.

The spelling of 2402790 in words is "two million, four hundred two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 101 122 130 183 195 202 303 305 366 390 505 606 610 793 915 1010 1313 1515 1586 1830 2379 2626 3030 3939 3965 4758 6161 6565 7878 7930 11895 12322 13130 18483 19695 23790 30805 36966 39390 61610 80093 92415 160186 184830 240279 400465 480558 800930 1201395 2402790