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10093928 = 2313711367
BaseRepresentation
bin100110100000…
…010101101000
3200222211021012
4212200111220
510041001203
61000203052
7151540235
oct46402550
920884235
1010093928
115774799
123469488
132125550
1414aa78c
15d45bd8
hex9a0568

10093928 has 32 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 4589760.

The previous prime is 10093901. The next prime is 10093939. The reversal of 10093928 is 82939001.

It is a junction number, because it is equal to n+sod(n) for n = 10093894 and 10093903.

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, 6701 + ... + 8067.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 210093928 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 10093928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

10093928 is an abundant number, since it is smaller than the sum of its proper divisors (10590232).

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

10093928 is a wasteful number, since it uses less digits than its factorization.

10093928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 10093928 is about 3177.0942699265. The cubic root of 10093928 is about 216.1159071567.

The spelling of 10093928 in words is "ten million, ninety-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1367 1846 2734 3692 5468 7384 10936 17771 35542 71084 97057 142168 194114 388228 776456 1261741 2523482 5046964 10093928