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87066903 = 37112941317
BaseRepresentation
bin1010011000010…
…00100100010111
320001211110100010
411030020210113
5134242120103
612350051303
72105025240
oct514104427
9201743303
1087066903
1145168720
12251a9b33
1315065ba1
14b7c5cc7
15799c903
hex5308917

87066903 has 64 divisors (see below), whose sum is σ = 153861120. Its totient is φ = 42470400.

The previous prime is 87066901. The next prime is 87066913. The reversal of 87066903 is 30966078.

It is not a de Polignac number, because 87066903 - 21 = 87066901 is a prime.

It is a super-2 number, since 2×870669032 = 15161291196022818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87066901) 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 63 ways as a sum of consecutive naturals, for example, 274501 + ... + 274817.

It is an arithmetic number, because the mean of its divisors is an integer number (2404080).

Almost surely, 287066903 is an apocalyptic number.

87066903 is a deficient number, since it is larger than the sum of its proper divisors (66794217).

87066903 is a wasteful number, since it uses less digits than its factorization.

87066903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 87066903 is about 9330.9647411187. The cubic root of 87066903 is about 443.2183155875.

The spelling of 87066903 in words is "eighty-seven million, sixty-six thousand, nine hundred three".

Divisors: 1 3 7 11 21 29 33 41 77 87 123 203 231 287 317 319 451 609 861 951 957 1189 1353 2219 2233 3157 3487 3567 6657 6699 8323 9193 9471 10461 12997 13079 24409 24969 27579 38991 39237 64351 73227 90979 91553 101123 142967 193053 272937 274659 303369 376913 428901 707861 1000769 1130739 2123583 2638391 3002307 4146043 7915173 12438129 29022301 87066903