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149965668 = 22342571801
BaseRepresentation
bin10001111000001…
…00101101100100
3101110012001020000
420330010231210
5301342400133
622514141300
73500454456
oct1074045544
9343161200
10149965668
1177719476
1242281830
13250b93a8
1415cba2d6
15d274413
hex8f04b64

149965668 has 60 divisors (see below), whose sum is σ = 393783852. Its totient is φ = 49766400.

The previous prime is 149965667. The next prime is 149965691. The reversal of 149965668 is 866569941.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93083904 + 56881764 = 9648^2 + 7542^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (149965667) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82368 + ... + 84168.

Almost surely, 2149965668 is an apocalyptic number.

149965668 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 149965668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196891926).

149965668 is an abundant number, since it is smaller than the sum of its proper divisors (243818184).

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

149965668 is a wasteful number, since it uses less digits than its factorization.

149965668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2063 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 149965668 is about 12246.0470356765. The cubic root of 149965668 is about 531.2887446160.

The spelling of 149965668 in words is "one hundred forty-nine million, nine hundred sixty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 257 324 514 771 1028 1542 1801 2313 3084 3602 4626 5403 6939 7204 9252 10806 13878 16209 20817 21612 27756 32418 41634 48627 64836 83268 97254 145881 194508 291762 462857 583524 925714 1388571 1851428 2777142 4165713 5554284 8331426 12497139 16662852 24994278 37491417 49988556 74982834 149965668