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125887696 = 24112692659
BaseRepresentation
bin1111000000011…
…10010011010000
322202212202110021
413200032103100
5224211401241
620254113224
73056012344
oct740162320
9282782407
10125887696
1165073320
12361ab814
1320108a7c
1412a0d624
15b0ba0d1
hex780e4d0

125887696 has 40 divisors (see below), whose sum is σ = 267170400. Its totient is φ = 56987520.

The previous prime is 125887693. The next prime is 125887709. The reversal of 125887696 is 696788521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125887693) 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 7 ways as a sum of consecutive naturals, for example, 46015 + ... + 48673.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2125887696 is an apocalyptic number.

125887696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125887696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

125887696 is an abundant number, since it is smaller than the sum of its proper divisors (141282704).

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

125887696 is a wasteful number, since it uses less digits than its factorization.

125887696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2941 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The square root of 125887696 is about 11219.9686274071. The cubic root of 125887696 is about 501.1808038759.

The spelling of 125887696 in words is "one hundred twenty-five million, eight hundred eighty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 2152 2659 2959 4304 5318 5918 10636 11836 21272 23672 29249 42544 47344 58498 116996 233992 467984 715271 1430542 2861084 5722168 7867981 11444336 15735962 31471924 62943848 125887696