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10030068 = 223517607
BaseRepresentation
bin100110010000…
…101111110100
3200212120200000
4212100233310
510031430233
6554551300
7151153116
oct46205764
920776600
1010030068
115730814
123438530
132102469
1414913b6
15d31d13
hex990bf4

10030068 has 72 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 3141504.

The previous prime is 10030063. The next prime is 10030087. The reversal of 10030068 is 86003001.

10030068 is digitally balanced in base 2 and base 4, because in such bases 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 self number, because there is not a number n which added to its sum of digits gives 10030068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030063) 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, 16221 + ... + 16827.

It is an arithmetic number, because the mean of its divisors is an integer number (387296).

Almost surely, 210030068 is an apocalyptic number.

10030068 is a gapful number since it is divisible by the number (18) 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 10030068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

10030068 is an abundant number, since it is smaller than the sum of its proper divisors (17855244).

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

10030068 is a wasteful number, since it uses less digits than its factorization.

10030068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10030068 is about 3167.0282600571. The cubic root of 10030068 is about 215.6591847503.

Adding to 10030068 its reverse (86003001), we get a palindrome (96033069).

The spelling of 10030068 in words is "ten million, thirty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 607 612 918 972 1214 1377 1821 1836 2428 2754 3642 4131 5463 5508 7284 8262 10319 10926 16389 16524 20638 21852 30957 32778 41276 49167 61914 65556 92871 98334 123828 147501 185742 196668 278613 295002 371484 557226 590004 835839 1114452 1671678 2507517 3343356 5015034 10030068