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10093590 = 2325138627
BaseRepresentation
bin100110100000…
…010000010110
3200222210210200
4212200100112
510040443330
61000201330
7151536243
oct46402026
920883720
1010093590
115774511
123469246
132125350
1414aa5ca
15d45a60
hex9a0416

10093590 has 48 divisors (see below), whose sum is σ = 28265328. Its totient is φ = 2484288.

The previous prime is 10093583. The next prime is 10093591. The reversal of 10093590 is 9539001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3144 + ... + 5483.

It is an arithmetic number, because the mean of its divisors is an integer number (588861).

Almost surely, 210093590 is an apocalyptic number.

10093590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10093590 is an abundant number, since it is smaller than the sum of its proper divisors (18171738).

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

10093590 is a wasteful number, since it uses less digits than its factorization.

10093590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8653 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 10093590 is about 3177.0410762217. The cubic root of 10093590 is about 216.1134948816.

It can be divided in two parts, 100935 and 90, that added together give a triangular number (101025 = T449).

The spelling of 10093590 in words is "ten million, ninety-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8627 17254 25881 43135 51762 77643 86270 112151 129405 155286 224302 258810 336453 388215 560755 672906 776430 1009359 1121510 1682265 2018718 3364530 5046795 10093590