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2763990 = 233529353
BaseRepresentation
bin1010100010110011010110
312012102111000
422202303112
51201421430
6135124130
732331165
oct12426326
95172430
102763990
111618699
12b13646
1375a0c8
1451d3dc
15398e60
hex2a2cd6

2763990 has 64 divisors (see below), whose sum is σ = 7646400. Its totient is φ = 709632.

The previous prime is 2763989. The next prime is 2764001. The reversal of 2763990 is 993672.

2763990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 219 + 74 + 68 + 39 + 94 + 96 + 0 .

It is a congruent number.

It is an unprimeable number.

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, 7654 + ... + 8006.

It is an arithmetic number, because the mean of its divisors is an integer number (119475).

22763990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2763990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823200).

2763990 is an abundant number, since it is smaller than the sum of its proper divisors (4882410).

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

2763990 is a wasteful number, since it uses less digits than its factorization.

2763990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2763990 is about 1662.5251877791. The cubic root of 2763990 is about 140.3391437623.

The spelling of 2763990 in words is "two million, seven hundred sixty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 353 435 522 706 783 870 1059 1305 1566 1765 2118 2610 3177 3530 3915 5295 6354 7830 9531 10237 10590 15885 19062 20474 30711 31770 47655 51185 61422 92133 95310 102370 153555 184266 276399 307110 460665 552798 921330 1381995 2763990