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10030986 = 2337217223
BaseRepresentation
bin100110010000…
…111110001010
3200212121221000
4212100332022
510031442421
6554555430
7151155600
oct46207612
920777830
1010030986
115731479
123438b76
1321029c4
141491870
15d32226
hex990f8a

10030986 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 2685312.

The previous prime is 10030973. The next prime is 10030987. The reversal of 10030986 is 68903001.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10030987) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 44871 + ... + 45093.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 210030986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10030986 is an abundant number, since it is smaller than the sum of its proper divisors (17547894).

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

10030986 is a wasteful number, since it uses less digits than its factorization.

10030986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10030986 is about 3167.1731875602. The cubic root of 10030986 is about 215.6657639377.

Adding to 10030986 its reverse (68903001), we get a palindrome (78933987).

The spelling of 10030986 in words is "ten million, thirty thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 223 238 294 306 357 378 441 446 459 669 714 833 882 918 1071 1323 1338 1561 1666 2007 2142 2499 2646 3122 3213 3791 4014 4683 4998 6021 6426 7497 7582 9366 10927 11373 12042 14049 14994 21854 22491 22746 26537 28098 32781 34119 42147 44982 53074 65562 68238 79611 84294 98343 102357 159222 185759 196686 204714 238833 295029 371518 477666 557277 590058 716499 1114554 1432998 1671831 3343662 5015493 10030986