Base | Representation |
---|---|
bin | 10010001011101… |
… | …11110000000000 |
3 | 101122000112100000 |
4 | 21011313300000 |
5 | 303022042031 |
6 | 23045200000 |
7 | 3531342405 |
oct | 1105676000 |
9 | 348015300 |
10 | 152534016 |
11 | 79113078 |
12 | 43100000 |
13 | 257a841b |
14 | 163882ac |
15 | d5d03e6 |
hex | 9177c00 |
152534016 has 132 divisors (see below), whose sum is σ = 457496312. Its totient is φ = 50761728.
The previous prime is 152533921. The next prime is 152534027. The reversal of 152534016 is 610435251.
152534016 is a `hidden beast` number, since 1 + 5 + 253 + 401 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 12.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 248526 + ... + 249138.
Almost surely, 2152534016 is an apocalyptic number.
152534016 is a gapful number since it is divisible by the number (16) 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 152534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228748156).
152534016 is an abundant number, since it is smaller than the sum of its proper divisors (304962296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152534016 is an frugal number, since it uses more digits than its factorization.
152534016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 648 (or 618 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 152534016 is about 12350.4662260175. The cubic root of 152534016 is about 534.3045857358.
Adding to 152534016 its reverse (610435251), we get a palindrome (762969267).
The spelling of 152534016 in words is "one hundred fifty-two million, five hundred thirty-four thousand, sixteen".
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