Search a number
-
+
149959168 = 291731693
BaseRepresentation
bin10001111000000…
…11001000000000
3101110011201022021
420330003020000
5301342143133
622514051224
73500426512
oct1074031000
9343151267
10149959168
11777145a7
1242279b14
13250b6448
1415cb7bb2
15d27252d
hex8f03200

149959168 has 40 divisors (see below), whose sum is σ = 301535388. Its totient is φ = 74502144.

The previous prime is 149959141. The next prime is 149959169. The reversal of 149959168 is 861959941.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 145154304 + 4804864 = 12048^2 + 2192^2 .

It is not an unprimeable number, because it can be changed into a prime (149959169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87730 + ... + 89422.

Almost surely, 2149959168 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 149959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150767694).

149959168 is an abundant number, since it is smaller than the sum of its proper divisors (151576220).

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

149959168 is an equidigital number, since it uses as much as digits as its factorization.

149959168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1868 counting only the distinct ones).

The product of its digits is 699840, while the sum is 52.

The square root of 149959168 is about 12245.7816410387. The cubic root of 149959168 is about 531.2810685775.

The spelling of 149959168 in words is "one hundred forty-nine million, nine hundred fifty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1384 1693 2768 3386 5536 6772 11072 13544 22144 27088 44288 54176 88576 108352 216704 292889 433408 585778 866816 1171556 2343112 4686224 9372448 18744896 37489792 74979584 149959168