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10064928 = 253591777
BaseRepresentation
bin100110011001…
…010000100000
3200221100111010
4212121100200
510034034203
6555420520
7151356546
oct46312040
920840433
1010064928
115754a25
123454740
1321152a3
14149dd96
15d3c303
hex999420

10064928 has 48 divisors (see below), whose sum is σ = 26883360. Its totient is φ = 3296256.

The previous prime is 10064917. The next prime is 10064933. The reversal of 10064928 is 82946001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10064895 and 10064904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4776 + ... + 6552.

It is an arithmetic number, because the mean of its divisors is an integer number (560070).

Almost surely, 210064928 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 10064928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680).

10064928 is an abundant number, since it is smaller than the sum of its proper divisors (16818432).

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

10064928 is a wasteful number, since it uses less digits than its factorization.

10064928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10064928 is about 3172.5270684424. The cubic root of 10064928 is about 215.9087405981.

The spelling of 10064928 in words is "ten million, sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1777 1888 2832 3554 5331 5664 7108 10662 14216 21324 28432 42648 56864 85296 104843 170592 209686 314529 419372 629058 838744 1258116 1677488 2516232 3354976 5032464 10064928