Base | Representation |
---|---|
bin | 1111011011110… |
… | …1000100000100 |
3 | 11111211000012200 |
4 | 3312331010010 |
5 | 113033100130 |
6 | 10231314500 |
7 | 1414155120 |
oct | 366750404 |
9 | 144730180 |
10 | 64737540 |
11 | 335a72aa |
12 | 1981ba30 |
13 | 1054844a |
14 | 8852580 |
15 | 5a3b760 |
hex | 3dbd104 |
64737540 has 144 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 14664960.
The previous prime is 64737527. The next prime is 64737551. The reversal of 64737540 is 4573746.
64737540 is a `hidden beast` number, since 647 + 3 + 7 + 5 + 4 + 0 = 666.
64737540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×647375403 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 64737495 and 64737504.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240526 + ... + 240794.
It is an arithmetic number, because the mean of its divisors is an integer number (1572480).
Almost surely, 264737540 is an apocalyptic number.
64737540 is a gapful number since it is divisible by the number (60) 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 64737540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).
64737540 is an abundant number, since it is smaller than the sum of its proper divisors (161699580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64737540 is a wasteful number, since it uses less digits than its factorization.
64737540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 482 (or 477 counting only the distinct ones).
The product of its (nonzero) digits is 70560, while the sum is 36.
The square root of 64737540 is about 8045.9642057369. The cubic root of 64737540 is about 401.5306767667.
The spelling of 64737540 in words is "sixty-four million, seven hundred thirty-seven thousand, five hundred forty".
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