Base | Representation |
---|---|
bin | 100000101111000… |
… | …1000010001011000 |
3 | 2211112212101012000 |
4 | 1001132020101120 |
5 | 4222143322430 |
6 | 300554521000 |
7 | 36135251424 |
oct | 10136102130 |
9 | 2745771160 |
10 | 1098417240 |
11 | 514034148 |
12 | 267a36160 |
13 | 14674843b |
14 | a5c49b84 |
15 | 66671e60 |
hex | 41788458 |
1098417240 has 128 divisors (see below), whose sum is σ = 3721636800. Its totient is φ = 288092160.
The previous prime is 1098417223. The next prime is 1098417251. The reversal of 1098417240 is 427148901.
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 = 1098417195 and 1098417204.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 57544 + ... + 74216.
Almost surely, 21098417240 is an apocalyptic number.
1098417240 is a gapful number since it is divisible by the number (10) 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 1098417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860818400).
1098417240 is an abundant number, since it is smaller than the sum of its proper divisors (2623219560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1098417240 is a wasteful number, since it uses less digits than its factorization.
1098417240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16754 (or 16744 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The square root of 1098417240 is about 33142.3783093489. The cubic root of 1098417240 is about 1031.7847712329.
It can be divided in two parts, 10984 and 17240, that added together give a square (28224 = 1682).
The spelling of 1098417240 in words is "one billion, ninety-eight million, four hundred seventeen thousand, two hundred forty".
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