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10408090 = 2572111931
BaseRepresentation
bin100111101101…
…000010011010
3201120210012211
4213231002122
510131024330
61011025334
7154316200
oct47550232
921523184
1010408090
115969830
12359b24a
132205544
14154d070
15da8d2a
hex9ed09a

10408090 has 48 divisors (see below), whose sum is σ = 23786784. Its totient is φ = 3242400.

The previous prime is 10408049. The next prime is 10408093. The reversal of 10408090 is 9080401.

10408090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10408093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4425 + ... + 6355.

It is an arithmetic number, because the mean of its divisors is an integer number (495558).

Almost surely, 210408090 is an apocalyptic number.

10408090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10408090 is an abundant number, since it is smaller than the sum of its proper divisors (13378694).

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

10408090 is a wasteful number, since it uses less digits than its factorization.

10408090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10408090 is about 3226.1571567424. The cubic root of 10408090 is about 218.3351604584.

Adding to 10408090 its reverse (9080401), we get a palindrome (19488491).

The spelling of 10408090 in words is "ten million, four hundred eight thousand, ninety".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 1931 2695 3862 5390 9655 13517 19310 21241 27034 42482 67585 94619 106205 135170 148687 189238 212410 297374 473095 743435 946190 1040809 1486870 2081618 5204045 10408090