Search a number
-
+
159946688 = 2611673391
BaseRepresentation
bin10011000100010…
…01011111000000
3102010222010121102
421202021133000
5311421243223
623512113532
73651344606
oct1142113700
9363863542
10159946688
1182316350
12456958a8
13271a2415
1417357876
15e096928
hex98897c0

159946688 has 56 divisors (see below), whose sum is σ = 351519744. Its totient is φ = 71596800.

The previous prime is 159946681. The next prime is 159946691. The reversal of 159946688 is 886649951.

It is a happy number.

159946688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159946681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45473 + ... + 48863.

Almost surely, 2159946688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175759872).

159946688 is an abundant number, since it is smaller than the sum of its proper divisors (191573056).

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

159946688 is a wasteful number, since it uses less digits than its factorization.

159946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3471 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 56.

The square root of 159946688 is about 12647.0031232700. The cubic root of 159946688 is about 542.8232203575.

The spelling of 159946688 in words is "one hundred fifty-nine million, nine hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 268 352 536 704 737 1072 1474 2144 2948 3391 4288 5896 6782 11792 13564 23584 27128 37301 47168 54256 74602 108512 149204 217024 227197 298408 454394 596816 908788 1193632 1817576 2387264 2499167 3635152 4998334 7270304 9996668 14540608 19993336 39986672 79973344 159946688