Base | Representation |
---|---|
bin | 111110010111100… |
… | …110101010000000 |
3 | 2200220221100201010 |
4 | 332113212222000 |
5 | 4120333000130 |
6 | 251455240520 |
7 | 34634020044 |
oct | 7627465200 |
9 | 2626840633 |
10 | 1046375040 |
11 | 497719067 |
12 | 252519140 |
13 | 138a26639 |
14 | 9cd80024 |
15 | 61ce20b0 |
hex | 3e5e6a80 |
1046375040 has 128 divisors (see below), whose sum is σ = 3351067200. Its totient is φ = 277716992.
The previous prime is 1046374969. The next prime is 1046375069. The reversal of 1046375040 is 405736401.
1046375040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 1046374989 and 1046375007.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446191 + ... + 448529.
Almost surely, 21046375040 is an apocalyptic number.
1046375040 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 1046375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675533600).
1046375040 is an abundant number, since it is smaller than the sum of its proper divisors (2304692160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1046375040 is a wasteful number, since it uses less digits than its factorization.
1046375040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2594 (or 2582 counting only the distinct ones).
The product of its (nonzero) digits is 10080, while the sum is 30.
The square root of 1046375040 is about 32347.7207852424. The cubic root of 1046375040 is about 1015.2253586494.
The spelling of 1046375040 in words is "one billion, forty-six million, three hundred seventy-five thousand, forty".
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