Search a number
-
+
4215150 = 23252171929
BaseRepresentation
bin10000000101000101101110
321221011002200
4100011011232
52034341100
6230202330
750554032
oct20050556
97834080
104215150
1124199a5
1214b33a6
13b47794
147ba1c2
15583e00
hex40516e

4215150 has 144 divisors (see below), whose sum is σ = 13057200. Its totient is φ = 967680.

The previous prime is 4215103. The next prime is 4215157. The reversal of 4215150 is 515124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4215157) 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, 145336 + ... + 145364.

It is an arithmetic number, because the mean of its divisors is an integer number (90675).

Almost surely, 24215150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4215150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528600).

4215150 is an abundant number, since it is smaller than the sum of its proper divisors (8842050).

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

4215150 is a wasteful number, since it uses less digits than its factorization.

4215150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 4215150 is about 2053.0830475166. The cubic root of 4215150 is about 161.5366273994.

It can be divided in two parts, 4215 and 150, that multiplied together give a triangular number (632250 = T1124).

The spelling of 4215150 in words is "four million, two hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 25 29 30 34 38 45 50 51 57 58 75 85 87 90 95 102 114 145 150 153 170 171 174 190 225 255 261 285 290 306 323 342 425 435 450 475 493 510 522 551 570 646 725 765 850 855 870 950 969 986 1102 1275 1305 1425 1450 1479 1530 1615 1653 1710 1938 2175 2465 2550 2610 2755 2850 2907 2958 3230 3306 3825 4275 4350 4437 4845 4930 4959 5510 5814 6525 7395 7650 8075 8265 8550 8874 9367 9690 9918 12325 13050 13775 14535 14790 16150 16530 18734 22185 24225 24650 24795 27550 28101 29070 36975 41325 44370 46835 48450 49590 56202 72675 73950 82650 84303 93670 110925 123975 140505 145350 168606 221850 234175 247950 281010 421515 468350 702525 843030 1405050 2107575 4215150