Search a number
-
+
10820208 = 243732203
BaseRepresentation
bin101001010001…
…101001110000
3202100201112110
4221101221300
510232221313
61023525320
7160653540
oct51215160
922321473
1010820208
116120423
123759840
13231acb9
141619320
15e3aec3
hexa51a70

10820208 has 40 divisors (see below), whose sum is σ = 31946368. Its totient is φ = 3091392.

The previous prime is 10820203. The next prime is 10820213. The reversal of 10820208 is 80202801.

It is an interprime number because it is at equal distance from previous prime (10820203) and next prime (10820213).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15766 + ... + 16437.

Almost surely, 210820208 is an apocalyptic number.

It is an amenable number.

10820208 is an abundant number, since it is smaller than the sum of its proper divisors (21126160).

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

10820208 is a wasteful number, since it uses less digits than its factorization.

10820208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32221 (or 32215 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10820208 is about 3289.4084574586. The cubic root of 10820208 is about 221.1796686664.

The spelling of 10820208 in words is "ten million, eight hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 32203 64406 96609 128812 193218 225421 257624 386436 450842 515248 676263 772872 901684 1352526 1545744 1803368 2705052 3606736 5410104 10820208