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125460060 = 22351131571
BaseRepresentation
bin1110111101001…
…01111001011100
322202002000211220
413132211321130
5224104210220
620241013340
73052251525
oct736457134
9282060756
10125460060
1164901000
1236024250
131ccb922b
141293b84c
15b033540
hex77a5e5c

125460060 has 96 divisors (see below), whose sum is σ = 386636544. Its totient is φ = 30395200.

The previous prime is 125460047. The next prime is 125460109. The reversal of 125460060 is 60064521.

It is a self number, because there is not a number n which added to its sum of digits gives 125460060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79075 + ... + 80645.

It is an arithmetic number, because the mean of its divisors is an integer number (4027464).

Almost surely, 2125460060 is an apocalyptic number.

125460060 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 125460060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193318272).

125460060 is an abundant number, since it is smaller than the sum of its proper divisors (261176484).

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

125460060 is a wasteful number, since it uses less digits than its factorization.

125460060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125460060 is about 11200.8954999143. The cubic root of 125460060 is about 500.6126623165.

The spelling of 125460060 in words is "one hundred twenty-five million, four hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1452 1571 1815 2420 2662 3142 3630 3993 4713 5324 6284 6655 7260 7855 7986 9426 13310 15710 15972 17281 18852 19965 23565 26620 31420 34562 39930 47130 51843 69124 79860 86405 94260 103686 172810 190091 207372 259215 345620 380182 518430 570273 760364 950455 1036860 1140546 1900910 2091001 2281092 2851365 3801820 4182002 5702730 6273003 8364004 10455005 11405460 12546006 20910010 25092012 31365015 41820020 62730030 125460060