Base | Representation |
---|---|
bin | 1110100100101… |
… | …0001000000000 |
3 | 11021000021021122 |
4 | 3221022020000 |
5 | 111121333044 |
6 | 10022011412 |
7 | 1341343256 |
oct | 351121000 |
9 | 137007248 |
10 | 61121024 |
11 | 31557148 |
12 | 18576b68 |
13 | c8802b3 |
14 | 81905d6 |
15 | 5574dee |
hex | 3a4a200 |
61121024 has 80 divisors (see below), whose sum is σ = 131926080. Its totient is φ = 28200960.
The previous prime is 61120993. The next prime is 61121029. The reversal of 61121024 is 42012116.
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 61121024 = 963 + 3923 = 2523 + 3563.
It is a junction number, because it is equal to n+sod(n) for n = 61120993 and 61121011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61121029) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593357 + ... + 593459.
It is an arithmetic number, because the mean of its divisors is an integer number (1649076).
Almost surely, 261121024 is an apocalyptic number.
61121024 is a gapful number since it is divisible by the number (64) 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 61121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65963040).
61121024 is an abundant number, since it is smaller than the sum of its proper divisors (70805056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61121024 is a wasteful number, since it uses less digits than its factorization.
61121024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 201 (or 185 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
The square root of 61121024 is about 7817.9936044998. The cubic root of 61121024 is about 393.9098800128.
The spelling of 61121024 in words is "sixty-one million, one hundred twenty-one thousand, twenty-four".
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