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125190432 = 2532434689
BaseRepresentation
bin1110111011001…
…00000100100000
322201120022222200
413131210010200
5224022043212
620231133200
73050046453
oct735440440
9281508880
10125190432
1164737474
1235b14200
131cc235a3
14128ab49a
15aecd6dc
hex7764120

125190432 has 36 divisors (see below), whose sum is σ = 356011110. Its totient is φ = 41730048.

The previous prime is 125190421. The next prime is 125190437. The reversal of 125190432 is 234091521.

It can be written as a sum of positive squares in only one way, i.e., 107246736 + 17943696 = 10356^2 + 4236^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 125190396 and 125190405.

It is not an unprimeable number, because it can be changed into a prime (125190437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 217057 + ... + 217632.

Almost surely, 2125190432 is an apocalyptic number.

125190432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125190432 is an abundant number, since it is smaller than the sum of its proper divisors (230820678).

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

125190432 is a wasteful number, since it uses less digits than its factorization.

125190432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434705 (or 434694 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 125190432 is about 11188.8530243274. The cubic root of 125190432 is about 500.2537805025.

The spelling of 125190432 in words is "one hundred twenty-five million, one hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 434689 869378 1304067 1738756 2608134 3477512 3912201 5216268 6955024 7824402 10432536 13910048 15648804 20865072 31297608 41730144 62595216 125190432