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693693 = 327211213
BaseRepresentation
bin10101001010110111101
31022020120100
42221112331
5134144233
622511313
75616300
oct2512675
91266510
10693693
11434200
12295539
131b3990
14140b37
15da813
hexa95bd

693693 has 54 divisors (see below), whose sum is σ = 1379742. Its totient is φ = 332640.

The previous prime is 693691. The next prime is 693697. The reversal of 693693 is 396396.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 213444 = 693^2 + 462^2 .

It is not a de Polignac number, because 693693 - 21 = 693691 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 693693.

It is not an unprimeable number, because it can be changed into a prime (693691) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 53355 + ... + 53367.

2693693 is an apocalyptic number.

693693 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

693693 is a deficient number, since it is larger than the sum of its proper divisors (686049).

693693 is a wasteful number, since it uses less digits than its factorization.

693693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 693693 is about 832.8823446322. The cubic root of 693693 is about 88.5229280822.

The spelling of 693693 in words is "six hundred ninety-three thousand, six hundred ninety-three".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 121 143 147 231 273 363 429 441 539 637 693 819 847 1001 1089 1287 1573 1617 1911 2541 3003 4719 4851 5733 5929 7007 7623 9009 11011 14157 17787 21021 33033 53361 63063 77077 99099 231231 693693