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10339020 = 2232571809
BaseRepresentation
bin100111011100…
…001011001100
3201110021110200
4213130023030
510121322040
61005333500
7153610626
oct47341314
921407420
1010339020
11592194a
123567290
1321acc83
141531c16
15d93630
hex9dc2cc

10339020 has 72 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 2714880.

The previous prime is 10339019. The next prime is 10339033. The reversal of 10339020 is 2093301.

10339020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10338984 and 10339002.

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, 12376 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 210339020 is an apocalyptic number.

10339020 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 10339020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

10339020 is an abundant number, since it is smaller than the sum of its proper divisors (21503700).

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

10339020 is a wasteful number, since it uses less digits than its factorization.

10339020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 10339020 is about 3215.4346518006. The cubic root of 10339020 is about 217.8511173773.

The spelling of 10339020 in words is "ten million, three hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 809 852 1065 1278 1420 1618 2130 2427 2556 3195 3236 4045 4260 4854 6390 7281 8090 9708 12135 12780 14562 16180 24270 29124 36405 48540 57439 72810 114878 145620 172317 229756 287195 344634 516951 574390 689268 861585 1033902 1148780 1723170 2067804 2584755 3446340 5169510 10339020