Search a number
-
+
125280736 = 2571075227
BaseRepresentation
bin1110111011110…
…10000111100000
322201201220212021
413131322013200
5224032440421
620233111224
73050603650
oct735720740
9281656767
10125280736
11647992a9
1235b58514
131cc55719
14128d2360
15aeea341
hex777a1e0

125280736 has 48 divisors (see below), whose sum is σ = 284570496. Its totient is φ = 53179776.

The previous prime is 125280733. The next prime is 125280751. The reversal of 125280736 is 637082521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125280733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21355 + ... + 26581.

It is an arithmetic number, because the mean of its divisors is an integer number (5928552).

Almost surely, 2125280736 is an apocalyptic number.

125280736 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 125280736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142285248).

125280736 is an abundant number, since it is smaller than the sum of its proper divisors (159289760).

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

125280736 is a wasteful number, since it uses less digits than its factorization.

125280736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 125280736 is about 11192.8877417760. The cubic root of 125280736 is about 500.3740347928.

The spelling of 125280736 in words is "one hundred twenty-five million, two hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3424 5227 5992 10454 11984 20908 23968 36589 41816 73178 83632 146356 167264 292712 559289 585424 1118578 1170848 2237156 3915023 4474312 7830046 8948624 15660092 17897248 31320184 62640368 125280736