Base | Representation |
---|---|
bin | 1000111000001… |
… | …10010010010000 |
3 | 12012010201000000 |
4 | 10130012102100 |
5 | 123031142030 |
6 | 11220130000 |
7 | 1563011142 |
oct | 434062220 |
9 | 165121000 |
10 | 74474640 |
11 | 39047999 |
12 | 20b36900 |
13 | 12577446 |
14 | 9c68c92 |
15 | 6811860 |
hex | 4706490 |
74474640 has 140 divisors (see below), whose sum is σ = 259814844. Its totient is φ = 19844352.
The previous prime is 74474633. The next prime is 74474663. The reversal of 74474640 is 4647447.
74474640 is a `hidden beast` number, since 7 + 4 + 4 + 7 + 4 + 640 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 37896336 + 36578304 = 6156^2 + 6048^2 .
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 = 74474595 and 74474604.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57682 + ... + 58958.
Almost surely, 274474640 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 74474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129907422).
74474640 is an abundant number, since it is smaller than the sum of its proper divisors (185340204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74474640 is a wasteful number, since it uses less digits than its factorization.
74474640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1308 (or 1287 counting only the distinct ones).
The product of its (nonzero) digits is 75264, while the sum is 36.
The square root of 74474640 is about 8629.8690604203. The cubic root of 74474640 is about 420.7293449782.
The spelling of 74474640 in words is "seventy-four million, four hundred seventy-four thousand, six hundred forty".
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