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8103645 = 3451117107
BaseRepresentation
bin11110111010011011011101
3120020201010000
4132322123131
54033304040
6445404513
7125610534
oct36723335
916221100
108103645
114635430
122869739
1318a9674
14110d31b
15aa1130
hex7ba6dd

8103645 has 80 divisors (see below), whose sum is σ = 16936128. Its totient is φ = 3663360.

The previous prime is 8103643. The next prime is 8103653. The reversal of 8103645 is 5463018.

8103645 is a `hidden beast` number, since 8 + 10 + 3 + 645 = 666.

It is not a de Polignac number, because 8103645 - 21 = 8103643 is a prime.

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

8103645 is a modest number, since divided by 3645 gives 810 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8103643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75682 + ... + 75788.

Almost surely, 28103645 is an apocalyptic number.

8103645 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8103645 is an abundant number, since it is smaller than the sum of its proper divisors (8832483).

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

8103645 is a wasteful number, since it uses less digits than its factorization.

8103645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8103645 is about 2846.6901833533. The cubic root of 8103645 is about 200.8600049899.

The spelling of 8103645 in words is "eight million, one hundred three thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 107 135 153 165 187 255 297 321 405 459 495 535 561 765 891 935 963 1177 1377 1485 1605 1683 1819 2295 2805 2889 3531 4455 4815 5049 5457 5885 6885 8415 8667 9095 10593 14445 15147 16371 17655 20009 25245 27285 31779 43335 49113 52965 60027 75735 81855 95337 100045 147339 158895 180081 245565 300135 476685 540243 736695 900405 1620729 2701215 8103645