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10642068 = 22321717389
BaseRepresentation
bin101000100110…
…001010010100
3202000200011200
4220212022110
510211021233
61020032500
7156312303
oct50461224
922020150
1010642068
1160095a8
123692730
132287ba8
1415b043a
15e03313
hexa26294

10642068 has 36 divisors (see below), whose sum is σ = 28484820. Its totient is φ = 3338496.

The previous prime is 10642039. The next prime is 10642081. The reversal of 10642068 is 86024601.

10642068 is a `hidden beast` number, since 10 + 642 + 0 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7551504 + 3090564 = 2748^2 + 1758^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106420682 = 226507222633248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8083 + ... + 9306.

It is an arithmetic number, because the mean of its divisors is an integer number (791245).

Almost surely, 210642068 is an apocalyptic number.

10642068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10642068 is an abundant number, since it is smaller than the sum of its proper divisors (17842752).

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

10642068 is a wasteful number, since it uses less digits than its factorization.

10642068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17416 (or 17411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10642068 is about 3262.2182636973. The cubic root of 10642068 is about 219.9591384166.

Adding to 10642068 its reverse (86024601), we get a palindrome (96666669).

The spelling of 10642068 in words is "ten million, six hundred forty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 17389 34778 52167 69556 104334 156501 208668 295613 313002 591226 626004 886839 1182452 1773678 2660517 3547356 5321034 10642068