Search a number
-
+
2147310 = 234511241
BaseRepresentation
bin1000001100001111101110
311001002120000
420030033232
51022203220
6114005130
724152244
oct10141756
94032500
102147310
111237340
128767a6
135a24c9
143dc794
152c6390
hex20c3ee

2147310 has 80 divisors (see below), whose sum is σ = 6324912. Its totient is φ = 518400.

The previous prime is 2147309. The next prime is 2147329. The reversal of 2147310 is 137412.

2147310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21473102 = 9221880472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8790 + ... + 9030.

22147310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2147310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162456).

2147310 is an abundant number, since it is smaller than the sum of its proper divisors (4177602).

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

2147310 is a wasteful number, since it uses less digits than its factorization.

2147310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2147310 is about 1465.3702603779. The cubic root of 2147310 is about 129.0124379570.

The spelling of 2147310 in words is "two million, one hundred forty-seven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 241 270 297 330 405 482 495 594 723 810 891 990 1205 1446 1485 1782 2169 2410 2651 2970 3615 4338 4455 5302 6507 7230 7953 8910 10845 13014 13255 15906 19521 21690 23859 26510 32535 39042 39765 47718 65070 71577 79530 97605 119295 143154 195210 214731 238590 357885 429462 715770 1073655 2147310