Search a number
-
+
10906020 = 2232560589
BaseRepresentation
bin101001100110…
…100110100100
3202112002020200
4221212212210
510242443040
61025430500
7161461656
oct51464644
922462220
1010906020
116179944
12379b430
13234b088
14163c6d6
15e56630
hexa669a4

10906020 has 36 divisors (see below), whose sum is σ = 33082140. Its totient is φ = 2908224.

The previous prime is 10906003. The next prime is 10906043. The reversal of 10906020 is 2060901.

It can be written as a sum of positive squares in 2 ways, for example, as 6937956 + 3968064 = 2634^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10905984 and 10906002.

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 11 ways as a sum of consecutive naturals, for example, 30115 + ... + 30474.

Almost surely, 210906020 is an apocalyptic number.

10906020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10906020 is an abundant number, since it is smaller than the sum of its proper divisors (22176120).

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

10906020 is a wasteful number, since it uses less digits than its factorization.

10906020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60604 (or 60599 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10906020 is about 3302.4263807086. The cubic root of 10906020 is about 221.7628341342.

Adding to 10906020 its reverse (2060901), we get a palindrome (12966921).

The spelling of 10906020 in words is "ten million, nine hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 60589 121178 181767 242356 302945 363534 545301 605890 727068 908835 1090602 1211780 1817670 2181204 2726505 3635340 5453010 10906020