Base | Representation |
---|---|
bin | 1011100100100… |
… | …00010011000000 |
3 | 20202122011100000 |
4 | 11302100103000 |
5 | 144321410112 |
6 | 13344200000 |
7 | 2255665566 |
oct | 562202300 |
9 | 222564300 |
10 | 97060032 |
11 | 4a873703 |
12 | 28609000 |
13 | 17154594 |
14 | cc67a36 |
15 | 87c37dc |
hex | 5c904c0 |
97060032 has 126 divisors (see below), whose sum is σ = 292207188. Its totient is φ = 31943808.
The previous prime is 97060027. The next prime is 97060049. The reversal of 97060032 is 23006079.
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.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 7.
It is a junction number, because it is equal to n+sod(n) for n = 97059978 and 97060005.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1228569 + ... + 1228647.
Almost surely, 297060032 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 97060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146103594).
97060032 is an abundant number, since it is smaller than the sum of its proper divisors (195147156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97060032 is an frugal number, since it uses more digits than its factorization.
97060032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 185 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 27.
The square root of 97060032 is about 9851.9049934518. The cubic root of 97060032 is about 459.5648563002.
Multiplying 97060032 by its sum of digits (27), we get a square (2620620864 = 511922).
97060032 divided by its sum of digits (27) gives a square (3594816 = 18962).
The spelling of 97060032 in words is "ninety-seven million, sixty thousand, thirty-two".
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