Search a number
-
+
10461620 = 2251340237
BaseRepresentation
bin100111111010…
…000110110100
3201200111122102
4213322012310
510134232440
61012121232
7154631231
oct47720664
921614572
1010461620
1159a5a74
123606218
132223a10
141564788
15db9b15
hex9fa1b4

10461620 has 24 divisors (see below), whose sum is σ = 23659944. Its totient is φ = 3862656.

The previous prime is 10461611. The next prime is 10461623. The reversal of 10461620 is 2616401.

It is a happy number.

10461620 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 702244 + 9759376 = 838^2 + 3124^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10461592 and 10461601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10461623) 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, 19859 + ... + 20378.

It is an arithmetic number, because the mean of its divisors is an integer number (985831).

Almost surely, 210461620 is an apocalyptic number.

10461620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10461620 is an abundant number, since it is smaller than the sum of its proper divisors (13198324).

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

10461620 is a wasteful number, since it uses less digits than its factorization.

10461620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40259 (or 40257 counting only the distinct ones).

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

The square root of 10461620 is about 3234.4427649906. The cubic root of 10461620 is about 218.7088281697.

The spelling of 10461620 in words is "ten million, four hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 40237 80474 160948 201185 402370 523081 804740 1046162 2092324 2615405 5230810 10461620