Search a number
-
+
3125148 = 2231322367
BaseRepresentation
bin1011111010111110011100
312212202220020
423322332130
51300001043
6150552140
735364135
oct13727634
95782806
103125148
111844a74
121068650
13855600
145b4c8c
1541ae83
hex2faf9c

3125148 has 72 divisors (see below), whose sum is σ = 8362368. Its totient is φ = 906048.

The previous prime is 3125147. The next prime is 3125153. The reversal of 3125148 is 8415213.

3125148 is a modest number, since divided by 5148 gives 312 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46611 + ... + 46677.

It is an arithmetic number, because the mean of its divisors is an integer number (116144).

Almost surely, 23125148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181184).

3125148 is an abundant number, since it is smaller than the sum of its proper divisors (5237220).

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

3125148 is a wasteful number, since it uses less digits than its factorization.

3125148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 3125148 is about 1767.8088131922. The cubic root of 3125148 is about 146.2031948989.

It can be divided in two parts, 312 and 5148, that added together give a triangular number (5460 = T104).

The spelling of 3125148 in words is "three million, one hundred twenty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 67 69 78 92 134 138 156 169 201 268 276 299 338 402 507 598 676 804 871 897 1014 1196 1541 1742 1794 2028 2613 3082 3484 3588 3887 4623 5226 6164 7774 9246 10452 11323 11661 15548 18492 20033 22646 23322 33969 40066 45292 46644 60099 67938 80132 120198 135876 240396 260429 520858 781287 1041716 1562574 3125148