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149935914 = 23337101743
BaseRepresentation
bin10001110111111…
…01011100101010
3101110010112102000
420323331130222
5301340422124
622513351430
73500301642
oct1073753452
9343115360
10149935914
11776a9087
1242268576
13250a899b
1415cad522
15d26a6c9
hex8efd72a

149935914 has 64 divisors (see below), whose sum is σ = 346049280. Its totient is φ = 48081600.

The previous prime is 149935913. The next prime is 149935921. The reversal of 149935914 is 419539941.

It is a self number, because there is not a number n which added to its sum of digits gives 149935914.

It is not an unprimeable number, because it can be changed into a prime (149935913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201427 + ... + 202169.

It is an arithmetic number, because the mean of its divisors is an integer number (5407020).

Almost surely, 2149935914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149935914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173024640).

149935914 is an abundant number, since it is smaller than the sum of its proper divisors (196113366).

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

149935914 is a wasteful number, since it uses less digits than its factorization.

149935914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 149935914 is about 12244.8321344149. The cubic root of 149935914 is about 531.2536054380.

The spelling of 149935914 in words is "one hundred forty-nine million, nine hundred thirty-five thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 101 111 202 222 303 333 606 666 743 909 999 1486 1818 1998 2229 2727 3737 4458 5454 6687 7474 11211 13374 20061 22422 27491 33633 40122 54982 67266 75043 82473 100899 150086 164946 201798 225129 247419 450258 494838 675387 742257 1350774 1484514 2026161 2776591 4052322 5553182 8329773 16659546 24989319 49978638 74967957 149935914