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125640018 = 23372103461
BaseRepresentation
bin1110111110100…
…01110101010010
322202102011201000
413133101311102
5224130440033
620244522430
73053631300
oct737216522
9282364630
10125640018
1164a14229
12360b0416
132005010a
1412987270
15b06ba13
hex77d1d52

125640018 has 96 divisors (see below), whose sum is σ = 328648320. Its totient is φ = 35471520.

The previous prime is 125640017. The next prime is 125640029. The reversal of 125640018 is 810046521.

125640018 is a `hidden beast` number, since 1 + 2 + 5 + 640 + 0 + 18 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 125639973 and 125640000.

It is not an unprimeable number, because it can be changed into a prime (125640017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272308 + ... + 272768.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2125640018 is an apocalyptic number.

125640018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125640018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164324160).

125640018 is an abundant number, since it is smaller than the sum of its proper divisors (203008302).

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

125640018 is a wasteful number, since it uses less digits than its factorization.

125640018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125640018 is about 11208.9258182932. The cubic root of 125640018 is about 500.8519050246.

Adding to 125640018 its reverse (810046521), we get a palindrome (935686539).

The spelling of 125640018 in words is "one hundred twenty-five million, six hundred forty thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 103 126 147 189 206 294 309 378 441 461 618 721 882 922 927 1323 1383 1442 1854 2163 2646 2766 2781 3227 4149 4326 5047 5562 6454 6489 8298 9681 10094 12447 12978 15141 19362 19467 22589 24894 29043 30282 38934 45178 45423 47483 58086 67767 87129 90846 94966 135534 136269 142449 174258 203301 272538 284898 332381 406602 427347 609903 664762 854694 997143 1219806 1282041 1994286 2326667 2564082 2991429 4653334 5982858 6980001 8974287 13960002 17948574 20940003 41880006 62820009 125640018