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125680068 = 22324774279
BaseRepresentation
bin1110111110110…
…11100111000100
322202111012122100
413133123213010
5224133230233
620245432100
73054156123
oct737334704
9282435570
10125680068
1164a41328
123610b630
1320065407
1412997aba
15b078813
hex77db9c4

125680068 has 36 divisors (see below), whose sum is σ = 324455040. Its totient is φ = 41001456.

The previous prime is 125680063. The next prime is 125680091. The reversal of 125680068 is 860086521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125680063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35448 + ... + 38831.

It is an arithmetic number, because the mean of its divisors is an integer number (9012640).

Almost surely, 2125680068 is an apocalyptic number.

125680068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125680068 is an abundant number, since it is smaller than the sum of its proper divisors (198774972).

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

125680068 is a wasteful number, since it uses less digits than its factorization.

125680068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74336 (or 74331 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 125680068 is about 11210.7121986072. The cubic root of 125680068 is about 500.9051178679.

The spelling of 125680068 in words is "one hundred twenty-five million, six hundred eighty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 74279 148558 222837 297116 445674 668511 891348 1337022 2674044 3491113 6982226 10473339 13964452 20946678 31420017 41893356 62840034 125680068