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10108620 = 2232589631
BaseRepresentation
bin100110100011…
…111011001100
3201000120102100
4212203323030
510041433440
61000355100
7151631124
oct46437314
921016370
1010108620
115784835
123475a90
13212c142
1414b1c84
15d4a230
hex9a3ecc

10108620 has 72 divisors (see below), whose sum is σ = 31056480. Its totient is φ = 2661120.

The previous prime is 10108613. The next prime is 10108621. The reversal of 10108620 is 2680101.

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 = 10108593 and 10108602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108621) 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, 15705 + ... + 16335.

It is an arithmetic number, because the mean of its divisors is an integer number (431340).

Almost surely, 210108620 is an apocalyptic number.

10108620 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 10108620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

10108620 is an abundant number, since it is smaller than the sum of its proper divisors (20947860).

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

10108620 is a wasteful number, since it uses less digits than its factorization.

10108620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10108620 is about 3179.4056048262. The cubic root of 10108620 is about 216.2207106132.

Adding to 10108620 its reverse (2680101), we get a palindrome (12788721).

The spelling of 10108620 in words is "ten million, one hundred eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 631 801 890 1068 1262 1335 1602 1780 1893 2524 2670 3155 3204 3786 4005 5340 5679 6310 7572 8010 9465 11358 12620 16020 18930 22716 28395 37860 56159 56790 112318 113580 168477 224636 280795 336954 505431 561590 673908 842385 1010862 1123180 1684770 2021724 2527155 3369540 5054310 10108620