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2902068 = 223413253
BaseRepresentation
bin1011000100100000110100
312110102220000
423010200310
51220331233
6142111300
733444561
oct13044064
95412800
102902068
111702404
12b7b530
137a7c00
14557868
153c4d13
hex2c4834

2902068 has 90 divisors (see below), whose sum is σ = 8370054. Its totient is φ = 876096.

The previous prime is 2902063. The next prime is 2902091. The reversal of 2902068 is 8602092.

It can be written as a sum of positive squares in 3 ways, for example, as 39204 + 2862864 = 198^2 + 1692^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2902063) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54730 + ... + 54782.

22902068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2902068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185027).

2902068 is an abundant number, since it is smaller than the sum of its proper divisors (5467986).

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

2902068 is a wasteful number, since it uses less digits than its factorization.

2902068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2902068 is about 1703.5457140916. The cubic root of 2902068 is about 142.6382038695.

The spelling of 2902068 in words is "two million, nine hundred two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 81 106 108 117 156 159 162 169 212 234 318 324 338 351 468 477 507 636 676 689 702 954 1014 1053 1378 1404 1431 1521 1908 2028 2067 2106 2756 2862 3042 4134 4212 4293 4563 5724 6084 6201 8268 8586 8957 9126 12402 13689 17172 17914 18252 18603 24804 26871 27378 35828 37206 53742 54756 55809 74412 80613 107484 111618 161226 223236 241839 322452 483678 725517 967356 1451034 2902068