Search a number
-
+
1218152430 = 23251111310889
BaseRepresentation
bin100100010011011…
…1000011111101110
310010220011112222200
41020212320133232
54443321334210
6320513122330
742121060545
oct11046703756
93126145880
101218152430
11575684a50
1229bb593a6
131654ab971
14b7ad715c
1571e240c0
hex489b87ee

1218152430 has 96 divisors (see below), whose sum is σ = 3486019680. Its totient is φ = 292669440.

The previous prime is 1218152423. The next prime is 1218152449. The reversal of 1218152430 is 342518121.

1218152430 is a `hidden beast` number, since 1 + 2 + 181 + 52 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1218152394 and 1218152403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106426 + ... + 117314.

It is an arithmetic number, because the mean of its divisors is an integer number (36312705).

Almost surely, 21218152430 is an apocalyptic number.

1218152430 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 1218152430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743009840).

1218152430 is an abundant number, since it is smaller than the sum of its proper divisors (2267867250).

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

1218152430 is a wasteful number, since it uses less digits than its factorization.

1218152430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1218152430 is about 34902.0404847625. The cubic root of 1218152430 is about 1067.9900632413.

The spelling of 1218152430 in words is "one billion, two hundred eighteen million, one hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 113 165 198 226 330 339 495 565 678 990 1017 1130 1243 1695 2034 2486 3390 3729 5085 6215 7458 10170 10889 11187 12430 18645 21778 22374 32667 37290 54445 55935 65334 98001 108890 111870 119779 163335 196002 239558 326670 359337 490005 598895 718674 980010 1078011 1197790 1230457 1796685 2156022 2460914 3593370 3691371 5390055 6152285 7382742 10780110 11074113 12304570 13535027 18456855 22148226 27070054 36913710 40605081 55370565 67675135 81210162 110741130 121815243 135350270 203025405 243630486 406050810 609076215 1218152430