Search a number
-
+
10101620 = 2251932617
BaseRepresentation
bin100110100010…
…001101110100
3201000012211002
4212202031310
510041222440
61000302432
7151601534
oct46421564
921005732
1010101620
11577a551
123471a18
132128bb9
1414ad4c4
15d48115
hex9a2374

10101620 has 24 divisors (see below), whose sum is σ = 21331464. Its totient is φ = 4018176.

The previous prime is 10101617. The next prime is 10101653. The reversal of 10101620 is 2610101.

It can be written as a sum of positive squares in 4 ways, for example, as 2328676 + 7772944 = 1526^2 + 2788^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2552 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (888811).

Almost surely, 210101620 is an apocalyptic number.

10101620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101620 is an abundant number, since it is smaller than the sum of its proper divisors (11229844).

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

10101620 is a wasteful number, since it uses less digits than its factorization.

10101620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 10101620 is about 3178.3045794889. The cubic root of 10101620 is about 216.1707897050.

Adding to 10101620 its reverse (2610101), we get a palindrome (12711721).

The spelling of 10101620 in words is "ten million, one hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 2617 3860 5234 10468 13085 26170 52340 505081 1010162 2020324 2525405 5050810 10101620