Search a number
-
+
99542430 = 232513149571
BaseRepresentation
bin1011110111011…
…10010110011110
320221022021112200
411323232112132
5200440324210
613513312330
72316045111
oct573562636
9227267480
1099542430
1151209779
12294056a6
1317813460
14d312578
158b140c0
hex5eee59e

99542430 has 96 divisors (see below), whose sum is σ = 281080800. Its totient is φ = 24295680.

The previous prime is 99542389. The next prime is 99542431. The reversal of 99542430 is 3424599.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99542431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174045 + ... + 174615.

It is an arithmetic number, because the mean of its divisors is an integer number (2927925).

Almost surely, 299542430 is an apocalyptic number.

99542430 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 99542430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140540400).

99542430 is an abundant number, since it is smaller than the sum of its proper divisors (181538370).

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

99542430 is a wasteful number, since it uses less digits than its factorization.

99542430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 99542430 is about 9977.0952686641. The cubic root of 99542430 is about 463.4498502173.

The spelling of 99542430 in words is "ninety-nine million, five hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 149 195 234 298 390 447 571 585 745 894 1142 1170 1341 1490 1713 1937 2235 2682 2855 3426 3874 4470 5139 5710 5811 6705 7423 8565 9685 10278 11622 13410 14846 17130 17433 19370 22269 25695 29055 34866 37115 44538 51390 58110 66807 74230 85079 87165 111345 133614 170158 174330 222690 255237 334035 425395 510474 668070 765711 850790 1106027 1276185 1531422 2212054 2552370 3318081 3828555 5530135 6636162 7657110 9954243 11060270 16590405 19908486 33180810 49771215 99542430