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2656290 = 2357213139
BaseRepresentation
bin1010001000100000100010
311222221202010
422020200202
51140000130
6132533350
731402200
oct12104042
94887663
102656290
11155478a
12a81256
13720090
144d2070
153770b0
hex288822

2656290 has 96 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 556416.

The previous prime is 2656289. The next prime is 2656309. The reversal of 2656290 is 926562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19041 + ... + 19179.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

22656290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2656290 is an abundant number, since it is smaller than the sum of its proper divisors (5387550).

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

2656290 is a wasteful number, since it uses less digits than its factorization.

2656290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2656290 is about 1629.8128726943. The cubic root of 2656290 is about 138.4921515882.

It can be divided in two parts, 265 and 6290, that added together give a triangular number (6555 = T114).

The spelling of 2656290 in words is "two million, six hundred fifty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 139 147 182 195 210 245 273 278 294 390 417 455 490 546 637 695 735 834 910 973 1274 1365 1390 1470 1807 1911 1946 2085 2730 2919 3185 3614 3822 4170 4865 5421 5838 6370 6811 9035 9555 9730 10842 12649 13622 14595 18070 19110 20433 25298 27105 29190 34055 37947 40866 54210 63245 68110 75894 88543 102165 126490 177086 189735 204330 265629 379470 442715 531258 885430 1328145 2656290