Search a number
-
+
116533152 = 25324171139
BaseRepresentation
bin1101111001000…
…10011110100000
322010021111102200
412330202132200
5214313030102
615321413200
72613341541
oct674423640
9263244380
10116533152
115a86409a
123303a200
131b1b1c38
14116964c8
15a36d51c
hex6f227a0

116533152 has 144 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 37094400.

The previous prime is 116533141. The next prime is 116533169. The reversal of 116533152 is 251335611.

116533152 is a `hidden beast` number, since 1 + 1 + 653 + 3 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838299 + ... + 838437.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2116533152 is an apocalyptic number.

116533152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116533152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

116533152 is an abundant number, since it is smaller than the sum of its proper divisors (230198688).

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

116533152 is a wasteful number, since it uses less digits than its factorization.

116533152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 116533152 is about 10795.0521999664. The cubic root of 116533152 is about 488.4459329731.

Adding to 116533152 its reverse (251335611), we get a palindrome (367868763).

The spelling of 116533152 in words is "one hundred sixteen million, five hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 71 72 82 96 123 139 142 144 164 213 246 278 284 288 328 369 417 426 492 556 568 639 656 738 834 852 984 1112 1136 1251 1278 1312 1476 1668 1704 1968 2224 2272 2502 2556 2911 2952 3336 3408 3936 4448 5004 5112 5699 5822 5904 6672 6816 8733 9869 10008 10224 11398 11644 11808 13344 17097 17466 19738 20016 20448 22796 23288 26199 29607 34194 34932 39476 40032 45592 46576 51291 52398 59214 68388 69864 78952 88821 91184 93152 102582 104796 118428 136776 139728 157904 177642 182368 205164 209592 236856 273552 279456 315808 355284 404629 410328 419184 473712 547104 710568 809258 820656 838368 947424 1213887 1421136 1618516 1641312 2427774 2842272 3237032 3641661 4855548 6474064 7283322 9711096 12948128 14566644 19422192 29133288 38844384 58266576 116533152