Search a number
-
+
159943680 = 2103351389
BaseRepresentation
bin10011000100010…
…00110000000000
3102010221222111000
421202020300000
5311421144210
623512052000
73651333051
oct1142106000
9363858430
10159943680
1182314066
1245694000
13271a0c40
1417356728
15e095ac0
hex9888c00

159943680 has 352 divisors, whose sum is σ = 619012800. Its totient is φ = 38928384.

The previous prime is 159943661. The next prime is 159943681. The reversal of 159943680 is 86349951.

It is a happy number.

159943680 is digitally balanced in base 3, because in such base 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159943681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797076 + ... + 1797164.

Almost surely, 2159943680 is an apocalyptic number.

159943680 is a gapful number since it is divisible by the number (10) 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 159943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309506400).

159943680 is an abundant number, since it is smaller than the sum of its proper divisors (459069120).

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

159943680 is a wasteful number, since it uses less digits than its factorization.

159943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 159943680 is about 12646.8842012568. The cubic root of 159943680 is about 542.8198175102.

The spelling of 159943680 in words is "one hundred fifty-nine million, nine hundred forty-three thousand, six hundred eighty".