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125463030 = 23572117759
BaseRepresentation
bin1110111101001…
…10100111110110
322202002011220220
413132212213312
5224104304110
620241035210
73052263300
oct736464766
9282064826
10125463030
1164903260
1236025b06
131ccba6a4
141293c970
15b034370
hex77a69f6

125463030 has 96 divisors (see below), whose sum is σ = 382164480. Its totient is φ = 26066880.

The previous prime is 125463017. The next prime is 125463047. The reversal of 125463030 is 30364521.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12291 + ... + 20049.

It is an arithmetic number, because the mean of its divisors is an integer number (3980880).

Almost surely, 2125463030 is an apocalyptic number.

125463030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125463030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191082240).

125463030 is an abundant number, since it is smaller than the sum of its proper divisors (256701450).

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

125463030 is a wasteful number, since it uses less digits than its factorization.

125463030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 125463030 is about 11201.0280778150. The cubic root of 125463030 is about 500.6166125985.

It can be divided in two parts, 12546 and 3030, that added together give a triangular number (15576 = T176).

The spelling of 125463030 in words is "one hundred twenty-five million, four hundred sixty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 7759 8085 15518 16170 23277 38795 46554 54313 77590 85349 108626 116385 162939 170698 232770 256047 271565 325878 380191 426745 512094 543130 597443 760382 814695 853490 1140573 1194886 1280235 1629390 1792329 1900955 2281146 2560470 2987215 3584658 3801910 4182101 5702865 5974430 8364202 8961645 11405730 12546303 17923290 20910505 25092606 41821010 62731515 125463030