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102678693 = 313231131013
BaseRepresentation
bin1100001111011…
…00000010100101
321011012121200120
412013230002211
5202241204233
614104432153
72354516535
oct607540245
9234177616
10102678693
1152a61027
122a478659
1318370b30
14d8cb4c5
1590334b3
hex61ec0a5

102678693 has 32 divisors (see below), whose sum is σ = 155361024. Its totient is φ = 59845632.

The previous prime is 102678659. The next prime is 102678701. The reversal of 102678693 is 396876201.

It is a happy number.

It is not a de Polignac number, because 102678693 - 26 = 102678629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102678493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100855 + ... + 101867.

It is an arithmetic number, because the mean of its divisors is an integer number (4855032).

Almost surely, 2102678693 is an apocalyptic number.

102678693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102678693 is a deficient number, since it is larger than the sum of its proper divisors (52682331).

102678693 is a wasteful number, since it uses less digits than its factorization.

102678693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 102678693 is about 10133.0495409822. The cubic root of 102678693 is about 468.2668824411.

The spelling of 102678693 in words is "one hundred two million, six hundred seventy-eight thousand, six hundred ninety-three".

Divisors: 1 3 13 23 39 69 113 299 339 897 1013 1469 2599 3039 4407 7797 13169 23299 33787 39507 69897 101361 114469 302887 343407 908661 1488097 2632787 4464291 7898361 34226231 102678693