Base | Representation |
---|---|
bin | 111111010011000… |
… | …011111110000000 |
3 | 2202000021020110010 |
4 | 333103003332000 |
5 | 4133330232400 |
6 | 253213304520 |
7 | 35213344650 |
oct | 7723037600 |
9 | 2660236403 |
10 | 1061961600 |
11 | 4a54a4517 |
12 | 257795140 |
13 | 13c022c5b |
14 | a107a360 |
15 | 63370450 |
hex | 3f4c3f80 |
1061961600 has 192 divisors, whose sum is σ = 3997779840. Its totient is φ = 242718720.
The previous prime is 1061961599. The next prime is 1061961601. The reversal of 1061961600 is 61691601.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1061961599) and next prime (1061961601).
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×10619616002 = 2255524879749120000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1061961601) 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, 59299 + ... + 75101.
It is an arithmetic number, because the mean of its divisors is an integer number (20821770).
Almost surely, 21061961600 is an apocalyptic number.
1061961600 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 1061961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998889920).
1061961600 is an abundant number, since it is smaller than the sum of its proper divisors (2935818240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1061961600 is a wasteful number, since it uses less digits than its factorization.
1061961600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15837 (or 15820 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 30.
The square root of 1061961600 is about 32587.7523005193. The cubic root of 1061961600 is about 1020.2413884675.
The spelling of 1061961600 in words is "one billion, sixty-one million, nine hundred sixty-one thousand, six hundred".
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