Base | Representation |
---|---|
bin | 10010000100010… |
… | …11001011110000 |
3 | 101120012022011000 |
4 | 21002023023300 |
5 | 302300040130 |
6 | 23012322000 |
7 | 3520165404 |
oct | 1102131360 |
9 | 346168130 |
10 | 151565040 |
11 | 78611070 |
12 | 42913300 |
13 | 25529373 |
14 | 161b5104 |
15 | d48d260 |
hex | 908b2f0 |
151565040 has 160 divisors (see below), whose sum is σ = 569606400. Its totient is φ = 36737280.
The previous prime is 151565039. The next prime is 151565087. The reversal of 151565040 is 40565151.
It is a happy number.
151565040 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 650 + 4 + 0 = 666.
It is a super-2 number, since 2×1515650402 = 45943922700403200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 151564995 and 151565013.
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 31 ways as a sum of consecutive naturals, for example, 20571 + ... + 26949.
It is an arithmetic number, because the mean of its divisors is an integer number (3560040).
Almost surely, 2151565040 is an apocalyptic number.
151565040 is a gapful number since it is divisible by the number (10) 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 151565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284803200).
151565040 is an abundant number, since it is smaller than the sum of its proper divisors (418041360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151565040 is a wasteful number, since it uses less digits than its factorization.
151565040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6412 (or 6400 counting only the distinct ones).
The product of its (nonzero) digits is 3000, while the sum is 27.
The square root of 151565040 is about 12311.1754109833. The cubic root of 151565040 is about 533.1707872708.
The spelling of 151565040 in words is "one hundred fifty-one million, five hundred sixty-five thousand, forty".
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