Base | Representation |
---|---|
bin | 100010100000100… |
… | …0010110110111100 |
3 | 2222200210111121020 |
4 | 1011001002312330 |
5 | 4332410324011 |
6 | 310521504140 |
7 | 40460000604 |
oct | 10501026674 |
9 | 2880714536 |
10 | 1157901756 |
11 | 544672800 |
12 | 283942050 |
13 | 155b7488b |
14 | adad1c04 |
15 | 6b9c2006 |
hex | 45042dbc |
1157901756 has 144 divisors (see below), whose sum is σ = 3200107680. Its totient is φ = 324403200.
The previous prime is 1157901751. The next prime is 1157901761. The reversal of 1157901756 is 6571097511.
It is an interprime number because it is at equal distance from previous prime (1157901751) and next prime (1157901761).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1157901751) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505340 + ... + 1506108.
It is an arithmetic number, because the mean of its divisors is an integer number (22222970).
Almost surely, 21157901756 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 1157901756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600053840).
1157901756 is an abundant number, since it is smaller than the sum of its proper divisors (2042205924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1157901756 is a wasteful number, since it uses less digits than its factorization.
1157901756 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 876 (or 863 counting only the distinct ones).
The product of its (nonzero) digits is 66150, while the sum is 42.
The square root of 1157901756 is about 34027.9555072003. The cubic root of 1157901756 is about 1050.0836686162.
The spelling of 1157901756 in words is "one billion, one hundred fifty-seven million, nine hundred one thousand, seven hundred fifty-six".
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