Base | Representation |
---|---|
bin | 10001110001110… |
… | …10100100000000 |
3 | 101101121222102012 |
4 | 20320322210000 |
5 | 301134401124 |
6 | 22444312052 |
7 | 3460435454 |
oct | 1070724400 |
9 | 341558365 |
10 | 149137664 |
11 | 77203375 |
12 | 41b42628 |
13 | 24b89550 |
14 | 15b42664 |
15 | d15de0e |
hex | 8e3a900 |
149137664 has 72 divisors (see below), whose sum is σ = 328711992. Its totient is φ = 67092480.
The previous prime is 149137657. The next prime is 149137679. The reversal of 149137664 is 466731941.
It can be written as a sum of positive squares in 4 ways, for example, as 8952064 + 140185600 = 2992^2 + 11840^2 .
It is a Harshad number since it is a multiple of its sum of digits (41).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135902 + ... + 136994.
Almost surely, 2149137664 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 149137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164355996).
149137664 is an abundant number, since it is smaller than the sum of its proper divisors (179574328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149137664 is a wasteful number, since it uses less digits than its factorization.
149137664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1163 (or 1149 counting only the distinct ones).
The product of its digits is 108864, while the sum is 41.
The square root of 149137664 is about 12212.1932510094. The cubic root of 149137664 is about 530.3091396919.
The spelling of 149137664 in words is "one hundred forty-nine million, one hundred thirty-seven thousand, six hundred sixty-four".
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