Search a number
-
+
3129750 = 2325313107
BaseRepresentation
bin1011111100000110010110
312220000012200
423330012112
51300123000
6151025330
735413431
oct13740626
95800180
103129750
111848478
12106b246
13857730
145b6818
1541c500
hex2fc196

3129750 has 96 divisors (see below), whose sum is σ = 9199008. Its totient is φ = 763200.

The previous prime is 3129733. The next prime is 3129757. The reversal of 3129750 is 579213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29197 + ... + 29303.

It is an arithmetic number, because the mean of its divisors is an integer number (95823).

Almost surely, 23129750 is an apocalyptic number.

3129750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504).

3129750 is an abundant number, since it is smaller than the sum of its proper divisors (6069258).

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

3129750 is a wasteful number, since it uses less digits than its factorization.

3129750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3129750 is about 1769.1099457072. The cubic root of 3129750 is about 146.2749245269.

The spelling of 3129750 in words is "three million, one hundred twenty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 107 117 125 130 150 195 214 225 234 250 321 325 375 390 450 535 585 642 650 750 963 975 1070 1125 1170 1391 1605 1625 1926 1950 2250 2675 2782 2925 3210 3250 4173 4815 4875 5350 5850 6955 8025 8346 9630 9750 12519 13375 13910 14625 16050 20865 24075 25038 26750 29250 34775 40125 41730 48150 62595 69550 80250 104325 120375 125190 173875 208650 240750 312975 347750 521625 625950 1043250 1564875 3129750