Search a number
-
+
149018688 = 26327132843
BaseRepresentation
bin10001110000111…
…01100001000000
3101101101221012200
420320131201000
5301122044223
622441553200
73456431550
oct1070354100
9341357180
10149018688
1177131a45
1241aa5800
1324b47350
1415b11160
15d138a43
hex8e1d840

149018688 has 168 divisors, whose sum is σ = 525889728. Its totient is φ = 39287808.

The previous prime is 149018687. The next prime is 149018707. The reversal of 149018688 is 886810941.

149018688 is a `hidden beast` number, since 1 + 490 + 1 + 86 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (149018687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50995 + ... + 53837.

It is an arithmetic number, because the mean of its divisors is an integer number (3130296).

Almost surely, 2149018688 is an apocalyptic number.

149018688 is a gapful number since it is divisible by the number (18) 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 149018688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262944864).

149018688 is an abundant number, since it is smaller than the sum of its proper divisors (376871040).

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

149018688 is a wasteful number, since it uses less digits than its factorization.

149018688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 149018688 is about 12207.3210820393. The cubic root of 149018688 is about 530.1680824434.

The spelling of 149018688 in words is "one hundred forty-nine million, eighteen thousand, six hundred eighty-eight".