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10016985 = 351125519
BaseRepresentation
bin100110001101…
…100011011001
3200211220201110
4212031203121
510031020420
6554410533
7151100016
oct46154331
920756643
1010016985
115721a00
123430a49
1320c9514
14148a70d
15d2cee0
hex98d8d9

10016985 has 24 divisors (see below), whose sum is σ = 17619840. Its totient is φ = 4855840.

The previous prime is 10016959. The next prime is 10017011. The reversal of 10016985 is 58961001.

It is a happy number.

10016985 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10016959) and next prime (10017011).

It is not a de Polignac number, because 10016985 - 25 = 10016953 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945 + ... + 4574.

It is an arithmetic number, because the mean of its divisors is an integer number (734160).

Almost surely, 210016985 is an apocalyptic number.

10016985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10016985 is a deficient number, since it is larger than the sum of its proper divisors (7602855).

10016985 is a wasteful number, since it uses less digits than its factorization.

10016985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 10016985 is about 3164.9620850810. The cubic root of 10016985 is about 215.5653769197.

Adding to 10016985 its reverse (58961001), we get a palindrome (68977986).

Subtracting 10016985 from its reverse (58961001), we obtain a square (48944016 = 69962).

The spelling of 10016985 in words is "ten million, sixteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 5519 16557 27595 60709 82785 182127 303545 667799 910635 2003397 3338995 10016985