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102543140 = 22575091439
BaseRepresentation
bin1100001110010…
…10111100100100
321010221201202002
412013022330210
5202222340030
614101504432
72353413410
oct607127444
9233851662
10102543140
11529791a7
122a412118
131832421b
14d893d40
159008245
hex61caf24

102543140 has 48 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 35064192.

The previous prime is 102543113. The next prime is 102543149. The reversal of 102543140 is 41345201.

It is a super-3 number, since 3×1025431403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102543149) 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, 70541 + ... + 71979.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2102543140 is an apocalyptic number.

102543140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102543140 is an abundant number, since it is smaller than the sum of its proper divisors (144215260).

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

102543140 is a wasteful number, since it uses less digits than its factorization.

102543140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102543140 is about 10126.3586742718. The cubic root of 102543140 is about 468.0607282336.

Adding to 102543140 its reverse (41345201), we get a palindrome (143888341).

The spelling of 102543140 in words is "one hundred two million, five hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 509 1018 1439 2036 2545 2878 3563 5090 5756 7126 7195 10073 10180 14252 14390 17815 20146 28780 35630 40292 50365 71260 100730 201460 732451 1464902 2929804 3662255 5127157 7324510 10254314 14649020 20508628 25635785 51271570 102543140