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390663 = 3471353
BaseRepresentation
bin1011111011000000111
3201211220000
41133120013
5100000123
612212343
73214650
oct1373007
9654800
10390663
11247569
1216a0b3
13108a80
14a2527
157ab43
hex5f607

390663 has 40 divisors (see below), whose sum is σ = 731808. Its totient is φ = 202176.

The previous prime is 390653. The next prime is 390671. The reversal of 390663 is 366093.

390663 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 390663 - 24 = 390647 is a prime.

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

390663 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390653) 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 39 ways as a sum of consecutive naturals, for example, 7345 + ... + 7397.

2390663 is an apocalyptic number.

390663 is a deficient number, since it is larger than the sum of its proper divisors (341145).

390663 is a wasteful number, since it uses less digits than its factorization.

390663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 390663 is about 625.0303992607. The cubic root of 390663 is about 73.1028137822.

It can be divided in two parts, 3906 and 63, that added together give a square (3969 = 632).

The spelling of 390663 in words is "three hundred ninety thousand, six hundred sixty-three".

Divisors: 1 3 7 9 13 21 27 39 53 63 81 91 117 159 189 273 351 371 477 567 689 819 1053 1113 1431 2067 2457 3339 4293 4823 6201 7371 10017 14469 18603 30051 43407 55809 130221 390663