Search a number
-
+
159733872 = 24321796197
BaseRepresentation
bin10011000010101…
…01100001110000
3102010120022200100
421201111201300
5311342440442
623503352400
73646500264
oct1141254160
9363508610
10159733872
1182190471
12455b2700
13271295ac
14173000a4
15e05384c
hex9855870

159733872 has 60 divisors (see below), whose sum is σ = 449602920. Its totient is φ = 52938624.

The previous prime is 159733867. The next prime is 159733897. The reversal of 159733872 is 278337951.

It is a happy number.

It is a super-2 number, since 2×1597338722 = 51029819728224768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22678 + ... + 28874.

It is an arithmetic number, because the mean of its divisors is an integer number (7493382).

Almost surely, 2159733872 is an apocalyptic number.

159733872 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 159733872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224801460).

159733872 is an abundant number, since it is smaller than the sum of its proper divisors (289869048).

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

159733872 is a wasteful number, since it uses less digits than its factorization.

159733872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6381 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 159733872 is about 12638.5866298412. The cubic root of 159733872 is about 542.5823635628.

The spelling of 159733872 in words is "one hundred fifty-nine million, seven hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 6197 6444 8592 12394 12888 18591 24788 25776 37182 49576 55773 74364 99152 111546 148728 223092 297456 446184 892368 1109263 2218526 3327789 4437052 6655578 8874104 9983367 13311156 17748208 19966734 26622312 39933468 53244624 79866936 159733872