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10066448 = 247172311
BaseRepresentation
bin100110011001…
…101000010000
3200221102120102
4212121220100
510034111243
6555431532
7151364150
oct46315020
920842512
1010066448
115756087
1234555a8
132115ba2
1414a0760
15d3c9b8
hex999a10

10066448 has 60 divisors (see below), whose sum is σ = 23754432. Its totient is φ = 4047360.

The previous prime is 10066439. The next prime is 10066471. The reversal of 10066448 is 84466001.

It is a self number, because there is not a number n which added to its sum of digits gives 10066448.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32213 + ... + 32523.

Almost surely, 210066448 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 10066448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877216).

10066448 is an abundant number, since it is smaller than the sum of its proper divisors (13687984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10066448 is a wasteful number, since it uses less digits than its factorization.

10066448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 10066448 is about 3172.7666160624. The cubic root of 10066448 is about 215.9196088582.

The spelling of 10066448 in words is "ten million, sixty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 311 476 578 622 952 1156 1244 1904 2023 2177 2312 2488 4046 4354 4624 4976 5287 8092 8708 10574 16184 17416 21148 32368 34832 37009 42296 74018 84592 89879 148036 179758 296072 359516 592144 629153 719032 1258306 1438064 2516612 5033224 10066448