| Base | Representation |
|---|---|
| bin | 1011101010000… |
| … | …11010100000000 |
| 3 | 20211000102011100 |
| 4 | 11311003110000 |
| 5 | 200013341110 |
| 6 | 13412014400 |
| 7 | 2265141414 |
| oct | 565032400 |
| 9 | 224012140 |
| 10 | 97793280 |
| 11 | 502245a2 |
| 12 | 28901400 |
| 13 | 17350260 |
| 14 | cdb8d44 |
| 15 | 88babc0 |
| hex | 5d43500 |
97793280 has 216 divisors, whose sum is σ = 364939848. Its totient is φ = 24035328.
The previous prime is 97793279. The next prime is 97793281. The reversal of 97793280 is 8239779.
It is an interprime number because it is at equal distance from previous prime (97793279) and next prime (97793281).
It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 97772544 = 144^2 + 9888^2 .
It is a super-2 number, since 2×977932802 = 19127051226316800, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97793281) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149434 + ... + 150086.
Almost surely, 297793280 is an apocalyptic number.
97793280 is a gapful number since it is divisible by the number (90) 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 97793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182469924).
97793280 is an abundant number, since it is smaller than the sum of its proper divisors (267146568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97793280 is a wasteful number, since it uses less digits than its factorization.
97793280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 693 (or 676 counting only the distinct ones).
The product of its (nonzero) digits is 190512, while the sum is 45.
The square root of 97793280 is about 9889.0484881004. The cubic root of 97793280 is about 460.7192277406.
The spelling of 97793280 in words is "ninety-seven million, seven hundred ninety-three thousand, two hundred eighty".
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