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10065920 = 2115983
BaseRepresentation
bin100110011001…
…100000000000
3200221101211212
4212121200000
510034102140
6555425252
7151362464
oct46314000
920841755
1010065920
115755747
123455228
132115887
1414a04a4
15d3c765
hex999800

10065920 has 48 divisors (see below), whose sum is σ = 24176880. Its totient is φ = 4022272.

The previous prime is 10065911. The next prime is 10065941. The reversal of 10065920 is 2956001.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9749 + ... + 10731.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 210065920 is an apocalyptic number.

10065920 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 10065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088440).

10065920 is an abundant number, since it is smaller than the sum of its proper divisors (14110960).

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

10065920 is an frugal number, since it uses more digits than its factorization.

10065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10065920 is about 3172.6834068340. The cubic root of 10065920 is about 215.9158336919.

The spelling of 10065920 in words is "ten million, sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 983 1024 1280 1966 2048 2560 3932 4915 5120 7864 9830 10240 15728 19660 31456 39320 62912 78640 125824 157280 251648 314560 503296 629120 1006592 1258240 2013184 2516480 5032960 10065920