Search a number
-
+
125970 = 235131719
BaseRepresentation
bin11110110000010010
320101210120
4132300102
513012340
62411110
71033155
oct366022
9211716
10125970
1186709
1260a96
1345450
1433c9c
15274d0
hex1ec12

125970 has 64 divisors (see below), whose sum is σ = 362880. Its totient is φ = 27648.

The previous prime is 125963. The next prime is 126001. The reversal of 125970 is 79521.

125970 is a nontrivial binomial coefficient, being equal to C(20, 8).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 125970.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125970.

It is an unprimeable number.

125970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6621 + ... + 6639.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2125970 is an apocalyptic number.

125970 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 125970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

125970 is an abundant number, since it is smaller than the sum of its proper divisors (236910).

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

125970 is a wasteful number, since it uses less digits than its factorization.

125970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 125970 is about 354.9225267576. The cubic root of 125970 is about 50.1290002259.

The spelling of 125970 in words is "one hundred twenty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 17 19 26 30 34 38 39 51 57 65 78 85 95 102 114 130 170 190 195 221 247 255 285 323 390 442 494 510 570 646 663 741 969 1105 1235 1326 1482 1615 1938 2210 2470 3230 3315 3705 4199 4845 6630 7410 8398 9690 12597 20995 25194 41990 62985 125970