Search a number
-
+
10610420 = 2251972693
BaseRepresentation
bin101000011110…
…011011110100
3201222001202112
4220132123310
510204013140
61015230152
7156121112
oct50363364
921861675
1010610420
115a97847
123678358
132276672
1415a2ab2
15de8c65
hexa1e6f4

10610420 has 24 divisors (see below), whose sum is σ = 22403304. Its totient is φ = 4221056.

The previous prime is 10610419. The next prime is 10610423. The reversal of 10610420 is 2401601.

It can be written as a sum of positive squares in 4 ways, for example, as 3363556 + 7246864 = 1834^2 + 2692^2 .

It is a super-2 number, since 2×106104202 = 225162025152800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10610395 and 10610404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10610423) 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 7 ways as a sum of consecutive naturals, for example, 2594 + ... + 5286.

It is an arithmetic number, because the mean of its divisors is an integer number (933471).

Almost surely, 210610420 is an apocalyptic number.

10610420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10610420 is an abundant number, since it is smaller than the sum of its proper divisors (11792884).

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

10610420 is a wasteful number, since it uses less digits than its factorization.

10610420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10610420 is about 3257.3639649262. The cubic root of 10610420 is about 219.7408794954.

The spelling of 10610420 in words is "ten million, six hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 2693 3940 5386 10772 13465 26930 53860 530521 1061042 2122084 2652605 5305210 10610420