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10066460 = 2254710709
BaseRepresentation
bin100110011001…
…101000011100
3200221102120212
4212121220130
510034111320
6555431552
7151364165
oct46315034
920842525
1010066460
115756098
1234555b8
132115bb1
1414a076c
15d3c9c5
hex999a1c

10066460 has 24 divisors (see below), whose sum is σ = 21591360. Its totient is φ = 3940544.

The previous prime is 10066439. The next prime is 10066471. The reversal of 10066460 is 6466001.

10066460 = T415 + T416 + ... + T508.

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 7 ways as a sum of consecutive naturals, for example, 4415 + ... + 6294.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 210066460 is an apocalyptic number.

10066460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066460 is an abundant number, since it is smaller than the sum of its proper divisors (11524900).

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

10066460 is a wasteful number, since it uses less digits than its factorization.

10066460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10765 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10066460 is about 3172.7685071559. The cubic root of 10066460 is about 215.9196946559.

The spelling of 10066460 in words is "ten million, sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 10709 21418 42836 53545 107090 214180 503323 1006646 2013292 2516615 5033230 10066460