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10026380 = 2257213787
BaseRepresentation
bin100110001111…
…110110001100
3200212101121102
4212033312030
510031321010
6554522232
7151136300
oct46176614
920771542
1010026380
115728a71
123436378
132100890
14148dd00
15d30ba5
hex98fd8c

10026380 has 72 divisors (see below), whose sum is σ = 26410608. Its totient is φ = 3169152.

The previous prime is 10026343. The next prime is 10026383. The reversal of 10026380 is 8362001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10026383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12347 + ... + 13133.

It is an arithmetic number, because the mean of its divisors is an integer number (366814).

Almost surely, 210026380 is an apocalyptic number.

10026380 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 10026380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205304).

10026380 is an abundant number, since it is smaller than the sum of its proper divisors (16384228).

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

10026380 is a wasteful number, since it uses less digits than its factorization.

10026380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10026380 is about 3166.4459572208. The cubic root of 10026380 is about 215.6327492839.

Adding to 10026380 its reverse (8362001), we get a palindrome (18388381).

The spelling of 10026380 in words is "ten million, twenty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 787 910 980 1274 1574 1820 2548 3148 3185 3935 5509 6370 7870 10231 11018 12740 15740 20462 22036 27545 38563 40924 51155 55090 71617 77126 102310 110180 143234 154252 192815 204620 286468 358085 385630 501319 716170 771260 1002638 1432340 2005276 2506595 5013190 10026380