| Base | Representation |
|---|---|
| bin | 111100100100010… |
| … | …011100110000000 |
| 3 | 2121211001210022000 |
| 4 | 330210103212000 |
| 5 | 4040113303100 |
| 6 | 244455344000 |
| 7 | 34116064416 |
| oct | 7444234600 |
| 9 | 2554053260 |
| 10 | 1016150400 |
| 11 | 481654921 |
| 12 | 244382000 |
| 13 | 1326a3335 |
| 14 | 98d532b6 |
| 15 | 5e321900 |
| hex | 3c913980 |
1016150400 has 384 divisors, whose sum is σ = 3920880000. Its totient is φ = 256296960.
The previous prime is 1016150393. The next prime is 1016150407. The reversal of 1016150400 is 40516101.
1016150400 is a `hidden beast` number, since 1 + 0 + 161 + 504 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1016150393) and next prime (1016150407).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1016150407) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641291 + ... + 1641909.
It is an arithmetic number, because the mean of its divisors is an integer number (10210625).
Almost surely, 21016150400 is an apocalyptic number.
1016150400 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 1016150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960440000).
1016150400 is an abundant number, since it is smaller than the sum of its proper divisors (2904729600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1016150400 is a wasteful number, since it uses less digits than its factorization.
1016150400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 671 (or 648 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 18.
The square root of 1016150400 is about 31877.1140475420. The cubic root of 1016150400 is about 1005.3547422231.
Adding to 1016150400 its reverse (40516101), we get a palindrome (1056666501).
The spelling of 1016150400 in words is "one billion, sixteen million, one hundred fifty thousand, four hundred".
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