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102813460 = 2255140673
BaseRepresentation
bin1100010000011…
…00111100010100
321011110110112221
412020030330110
5202310012320
614111352124
72355620461
oct610147424
9234413487
10102813460
1153043302
122a522644
13183ba289
14d924668
15905d3aa
hex620cf14

102813460 has 12 divisors (see below), whose sum is σ = 215908308. Its totient is φ = 41125376.

The previous prime is 102813449. The next prime is 102813463. The reversal of 102813460 is 64318201.

It can be written as a sum of positive squares in 2 ways, for example, as 71944324 + 30869136 = 8482^2 + 5556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102813463) 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 3 ways as a sum of consecutive naturals, for example, 2570317 + ... + 2570356.

It is an arithmetic number, because the mean of its divisors is an integer number (17992359).

Almost surely, 2102813460 is an apocalyptic number.

102813460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102813460 is an abundant number, since it is smaller than the sum of its proper divisors (113094848).

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

102813460 is a wasteful number, since it uses less digits than its factorization.

102813460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140682 (or 5140680 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 102813460 is about 10139.6972341387. The cubic root of 102813460 is about 468.4716614843.

The spelling of 102813460 in words is "one hundred two million, eight hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 5140673 10281346 20562692 25703365 51406730 102813460