Base | Representation |
---|---|
bin | 10001110100101… |
… | …00101001001000 |
3 | 101102022201112200 |
4 | 20322110221020 |
5 | 301233203012 |
6 | 22500240200 |
7 | 3463533252 |
oct | 1072245110 |
9 | 342281480 |
10 | 149506632 |
11 | 77435600 |
12 | 420a0060 |
13 | 24c88482 |
14 | 15bdacd2 |
15 | d1d33dc |
hex | 8e94a48 |
149506632 has 108 divisors (see below), whose sum is σ = 448493955. Its totient is φ = 44959200.
The previous prime is 149506613. The next prime is 149506633. The reversal of 149506632 is 236605941.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
149506632 is a `hidden beast` number, since 14 + 9 + 5 + 0 + 6 + 632 = 666.
149506632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 74753316 + 74753316 = 8646^2 + 8646^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=8646.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (149506633) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1141207 + ... + 1141337.
Almost surely, 2149506632 is an apocalyptic number.
149506632 is a gapful number since it is divisible by the number (12) 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 149506632
149506632 is an abundant number, since it is smaller than the sum of its proper divisors (298987323).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149506632 is a wasteful number, since it uses less digits than its factorization.
149506632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 296 (or 147 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 149506632 is about 12227.2904602778. The cubic root of 149506632 is about 530.7461094867.
The spelling of 149506632 in words is "one hundred forty-nine million, five hundred six thousand, six hundred thirty-two".
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