Search a number
-
+
12142350 = 23252112223
BaseRepresentation
bin101110010100…
…011100001110
3211211220011200
4232110130032
511102023400
61112130330
7205131303
oct56243416
924756150
1012142350
116943800
1240969a6
132691a2c
1418810aa
1510ecb00
hexb9470e

12142350 has 108 divisors (see below), whose sum is σ = 36018528. Its totient is φ = 2930400.

The previous prime is 12142337. The next prime is 12142357. The reversal of 12142350 is 5324121.

12142350 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (12142357) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54339 + ... + 54561.

Almost surely, 212142350 is an apocalyptic number.

12142350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264).

12142350 is an abundant number, since it is smaller than the sum of its proper divisors (23876178).

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

12142350 is a wasteful number, since it uses less digits than its factorization.

12142350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12142350 is about 3484.5874935206. The cubic root of 12142350 is about 229.8445704758.

Adding to 12142350 its reverse (5324121), we get a palindrome (17466471).

The spelling of 12142350 in words is "twelve million, one hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 223 225 242 275 330 363 446 450 495 550 605 669 726 825 990 1089 1115 1210 1338 1650 1815 2007 2178 2230 2453 2475 3025 3345 3630 4014 4906 4950 5445 5575 6050 6690 7359 9075 10035 10890 11150 12265 14718 16725 18150 20070 22077 24530 26983 27225 33450 36795 44154 50175 53966 54450 61325 73590 80949 100350 110385 122650 134915 161898 183975 220770 242847 269830 367950 404745 485694 551925 674575 809490 1103850 1214235 1349150 2023725 2428470 4047450 6071175 12142350