Search a number
-
+
9468270 = 23257219113
BaseRepresentation
bin100100000111…
…100101101110
3122211001000200
4210013211232
54410441040
6534534330
7143323200
oct44074556
918731020
109468270
115387719
1232073a6
131c66836
141386770
15c70630
hex90796e

9468270 has 144 divisors (see below), whose sum is σ = 30410640. Its totient is φ = 2032128.

The previous prime is 9468259. The next prime is 9468271. The reversal of 9468270 is 728649.

9468270 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-3 number, since 3×94682703 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9468271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83734 + ... + 83846.

It is an arithmetic number, because the mean of its divisors is an integer number (211185).

Almost surely, 29468270 is an apocalyptic number.

9468270 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9468270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205320).

9468270 is an abundant number, since it is smaller than the sum of its proper divisors (20942370).

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

9468270 is a wasteful number, since it uses less digits than its factorization.

9468270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9468270 is about 3077.0554106158. The cubic root of 9468270 is about 211.5551220275. Note that the first 3 decimals are identical.

It can be divided in two parts, 946 and 8270, that added together give a square (9216 = 962).

The spelling of 9468270 in words is "nine million, four hundred sixty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 113 114 126 133 147 171 190 210 226 245 266 285 294 315 339 342 399 441 490 565 570 630 665 678 735 791 798 855 882 931 1017 1130 1197 1330 1470 1582 1695 1710 1862 1995 2034 2147 2205 2373 2394 2793 3390 3955 3990 4294 4410 4655 4746 5085 5537 5586 5985 6441 7119 7910 8379 9310 10170 10735 11074 11865 11970 12882 13965 14238 15029 16611 16758 19323 21470 23730 27685 27930 30058 32205 33222 35595 38646 41895 45087 49833 55370 64410 71190 75145 83055 83790 90174 96615 99666 105203 135261 150290 166110 193230 210406 225435 249165 270522 315609 450870 498330 526015 631218 676305 946827 1052030 1352610 1578045 1893654 3156090 4734135 9468270