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10093020 = 2235723433
BaseRepresentation
bin100110100000…
…000111011100
3200222210000120
4212200013130
510040434040
61000154540
7151534500
oct46400734
920883016
1010093020
115774043
123468a50
132125002
1414aa300
15d457d0
hex9a01dc

10093020 has 72 divisors (see below), whose sum is σ = 32883984. Its totient is φ = 2306304.

The previous prime is 10093001. The next prime is 10093033. The reversal of 10093020 is 2039001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224 + ... + 4656.

It is an arithmetic number, because the mean of its divisors is an integer number (456722).

Almost surely, 210093020 is an apocalyptic number.

10093020 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 10093020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441992).

10093020 is an abundant number, since it is smaller than the sum of its proper divisors (22790964).

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

10093020 is a wasteful number, since it uses less digits than its factorization.

10093020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 10093020 is about 3176.9513688440. The cubic root of 10093020 is about 216.1094267218.

The spelling of 10093020 in words is "ten million, ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3433 6866 10299 13732 17165 20598 24031 34330 41196 48062 51495 68660 72093 96124 102990 120155 144186 168217 205980 240310 288372 336434 360465 480620 504651 672868 720930 841085 1009302 1441860 1682170 2018604 2523255 3364340 5046510 10093020