Base | Representation |
---|---|
bin | 1110100011111… |
… | …0110000000000 |
3 | 11020220220101000 |
4 | 3220332300000 |
5 | 111113340212 |
6 | 10021012000 |
7 | 1341060366 |
oct | 350766000 |
9 | 136826330 |
10 | 61074432 |
11 | 31525141 |
12 | 18554000 |
13 | c865023 |
14 | 817b636 |
15 | 55661dc |
hex | 3a3ec00 |
61074432 has 132 divisors (see below), whose sum is σ = 184803160. Its totient is φ = 19924992.
The previous prime is 61074373. The next prime is 61074439. The reversal of 61074432 is 23447016.
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.
61074432 is a `hidden beast` number, since 610 + 7 + 4 + 43 + 2 = 666.
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 = 61074396 and 61074405.
It is not an unprimeable number, because it can be changed into a prime (61074439) 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 11 ways as a sum of consecutive naturals, for example, 1299433 + ... + 1299479.
Almost surely, 261074432 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 61074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92401580).
61074432 is an abundant number, since it is smaller than the sum of its proper divisors (123728728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61074432 is an equidigital number, since it uses as much as digits as its factorization.
61074432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 61074432 is about 7815.0132437508. The cubic root of 61074432 is about 393.8097632643.
Multiplying 61074432 by its sum of digits (27), we get a square (1649009664 = 406082).
61074432 divided by its sum of digits (27) gives a square (2262016 = 15042).
The spelling of 61074432 in words is "sixty-one million, seventy-four thousand, four hundred thirty-two".
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