Search a number
-
+
4117230 = 2345131723
BaseRepresentation
bin1111101101001011101110
321202011210000
433231023232
52023222410
6224125130
746665405
oct17551356
97664700
104117230
112362377
1214667a6
13b12040
1479263c
15564dc0
hex3ed2ee

4117230 has 160 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 912384.

The previous prime is 4117193. The next prime is 4117231. The reversal of 4117230 is 327114.

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 (4117231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178999 + ... + 179021.

Almost surely, 24117230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

4117230 is an abundant number, since it is smaller than the sum of its proper divisors (9055314).

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

4117230 is a wasteful number, since it uses less digits than its factorization.

4117230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

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

The square root of 4117230 is about 2029.0958577652. The cubic root of 4117230 is about 160.2759560696.

It can be divided in two parts, 41 and 17230, that added together give a palindrome (17271).

The spelling of 4117230 in words is "four million, one hundred seventeen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 23 26 27 30 34 39 45 46 51 54 65 69 78 81 85 90 102 115 117 130 135 138 153 162 170 195 207 221 230 234 255 270 299 306 345 351 390 391 405 414 442 459 510 585 598 621 663 690 702 765 782 810 897 918 1035 1053 1105 1170 1173 1242 1326 1377 1495 1530 1755 1794 1863 1955 1989 2070 2106 2210 2295 2346 2691 2754 2990 3105 3315 3510 3519 3726 3910 3978 4485 4590 5083 5265 5382 5865 5967 6210 6630 6885 7038 8073 8970 9315 9945 10166 10530 10557 11730 11934 13455 13770 15249 16146 17595 17901 18630 19890 21114 24219 25415 26910 29835 30498 31671 35190 35802 40365 45747 48438 50830 52785 59670 63342 76245 80730 89505 91494 105570 121095 137241 152490 158355 179010 228735 242190 274482 316710 411723 457470 686205 823446 1372410 2058615 4117230