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125825780 = 22529401541
BaseRepresentation
bin1110111111111…
…11001011110100
322202202121112002
413133333023310
5224202411110
620252514432
73055334003
oct737771364
9282677462
10125825780
1165030853
123617ba18
13200b6832
14129d4c3a
15b0a6aa5
hex77ff2f4

125825780 has 48 divisors (see below), whose sum is σ = 274533840. Its totient is φ = 48384000.

The previous prime is 125825779. The next prime is 125825827. The reversal of 125825780 is 87528521.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6666724 + 119159056 = 2582^2 + 10916^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232310 + ... + 232850.

It is an arithmetic number, because the mean of its divisors is an integer number (5719455).

Almost surely, 2125825780 is an apocalyptic number.

125825780 is a gapful number since it is divisible by the number (10) 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 125825780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137266920).

125825780 is an abundant number, since it is smaller than the sum of its proper divisors (148708060).

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

125825780 is a wasteful number, since it uses less digits than its factorization.

125825780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 125825780 is about 11217.2091003065. The cubic root of 125825780 is about 501.0986242814.

The spelling of 125825780 in words is "one hundred twenty-five million, eight hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 401 541 580 802 1082 1604 2005 2164 2705 4010 5410 8020 10820 11629 15689 23258 31378 46516 58145 62756 78445 116290 156890 216941 232580 313780 433882 867764 1084705 2169410 4338820 6291289 12582578 25165156 31456445 62912890 125825780