| Base | Representation |
|---|---|
| bin | 100010100000011… |
| … | …0001001000000000 |
| 3 | 2222200122210222000 |
| 4 | 1011000301020000 |
| 5 | 4332401012440 |
| 6 | 310520144000 |
| 7 | 40456246050 |
| oct | 10500611000 |
| 9 | 2880583860 |
| 10 | 1157829120 |
| 11 | 544623178 |
| 12 | 283908000 |
| 13 | 155b4a7b6 |
| 14 | adab3560 |
| 15 | 6b9aa730 |
| hex | 45031200 |
1157829120 has 320 divisors, whose sum is σ = 4702199040. Its totient is φ = 264536064.
The previous prime is 1157829119. The next prime is 1157829133. The reversal of 1157829120 is 219287511.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×11578291202 = 2681136542239948800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482644 + ... + 485036.
It is an arithmetic number, because the mean of its divisors is an integer number (14694372).
Almost surely, 21157829120 is an apocalyptic number.
1157829120 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 1157829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351099520).
1157829120 is an abundant number, since it is smaller than the sum of its proper divisors (3544369920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1157829120 is an equidigital number, since it uses as much as digits as its factorization.
1157829120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2432 (or 2410 counting only the distinct ones).
The product of its (nonzero) digits is 10080, while the sum is 36.
The square root of 1157829120 is about 34026.8881915464. Note that the first 3 decimals coincide. The cubic root of 1157829120 is about 1050.0617106588.
The spelling of 1157829120 in words is "one billion, one hundred fifty-seven million, eight hundred twenty-nine thousand, one hundred twenty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •