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125435034 = 23329173463
BaseRepresentation
bin1110111100111…
…11110010011010
322202000202112000
413132133302122
5224102410114
620240301430
73052115544
oct736376232
9282022460
10125435034
116489421a
1236011876
131ccaaa1a
1412932694
15b02ae09
hex779fc9a

125435034 has 64 divisors (see below), whose sum is σ = 290649600. Its totient is φ = 40049856.

The previous prime is 125435033. The next prime is 125435039. The reversal of 125435034 is 430534521.

125435034 = T222 + T223 + ... + T913.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125434989 and 125435007.

It is not an unprimeable number, because it can be changed into a prime (125435033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270687 + ... + 271149.

It is an arithmetic number, because the mean of its divisors is an integer number (4541400).

Almost surely, 2125435034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125435034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145324800).

125435034 is an abundant number, since it is smaller than the sum of its proper divisors (165214566).

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

125435034 is a wasteful number, since it uses less digits than its factorization.

125435034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 125435034 is about 11199.7783013772. The cubic root of 125435034 is about 500.5793737262.

Adding to 125435034 its reverse (430534521), we get a palindrome (555969555).

The spelling of 125435034 in words is "one hundred twenty-five million, four hundred thirty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 173 174 261 346 463 519 522 783 926 1038 1389 1557 1566 2778 3114 4167 4671 5017 8334 9342 10034 12501 13427 15051 25002 26854 30102 40281 45153 80099 80562 90306 120843 135459 160198 240297 241686 270918 362529 480594 720891 725058 1441782 2162673 2322871 4325346 4645742 6968613 13937226 20905839 41811678 62717517 125435034