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102066540 = 22351739833
BaseRepresentation
bin1100001010101…
…10100101101100
321010001111222020
412011112211230
5202112112130
614043350140
72346360042
oct605264554
9233044866
10102066540
1152683114
122a222350
13181b8304
14d7ac392
158e61e10
hex615696c

102066540 has 48 divisors (see below), whose sum is σ = 287467488. Its totient is φ = 27057664.

The previous prime is 102066529. The next prime is 102066541. The reversal of 102066540 is 45660201.

It is a self number, because there is not a number n which added to its sum of digits gives 102066540.

It is not an unprimeable number, because it can be changed into a prime (102066541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5464 + ... + 15296.

It is an arithmetic number, because the mean of its divisors is an integer number (5988906).

Almost surely, 2102066540 is an apocalyptic number.

102066540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102066540 is an abundant number, since it is smaller than the sum of its proper divisors (185400948).

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

102066540 is a wasteful number, since it uses less digits than its factorization.

102066540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10018 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102066540 is about 10102.7986221641. The cubic root of 102066540 is about 467.3344509967.

The spelling of 102066540 in words is "one hundred two million, sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 2076 2595 3460 5190 9833 10380 19666 29499 39332 49165 58998 98330 117996 147495 196660 294990 589980 1701109 3402218 5103327 6804436 8505545 10206654 17011090 20413308 25516635 34022180 51033270 102066540