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125318480 = 245734567
BaseRepresentation
bin1110111100000…
…11010101010000
322201210211122012
413132003111100
5224040142410
620234002052
73051122000
oct736032520
9281724565
10125318480
11648146a1
1235b76328
131cc69961
1412902000
15b006605
hex7783550

125318480 has 80 divisors (see below), whose sum is σ = 339859200. Its totient is φ = 42956928.

The previous prime is 125318423. The next prime is 125318503. The reversal of 125318480 is 84813521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25157 + ... + 29723.

It is an arithmetic number, because the mean of its divisors is an integer number (4248240).

Almost surely, 2125318480 is an apocalyptic number.

125318480 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 125318480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169929600).

125318480 is an abundant number, since it is smaller than the sum of its proper divisors (214540720).

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

125318480 is an equidigital number, since it uses as much as digits as its factorization.

125318480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 125318480 is about 11194.5736854960. The cubic root of 125318480 is about 500.4242798713.

The spelling of 125318480 in words is "one hundred twenty-five million, three hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 4567 5488 6860 9134 13720 18268 22835 27440 31969 36536 45670 63938 73072 91340 127876 159845 182680 223783 255752 319690 365360 447566 511504 639380 895132 1118915 1278760 1566481 1790264 2237830 2557520 3132962 3580528 4475660 6265924 7832405 8951320 12531848 15664810 17902640 25063696 31329620 62659240 125318480