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10405940 = 225520297
BaseRepresentation
bin100111101100…
…100000110100
3201120200021012
4213230200310
510130442230
61011011352
7154310006
oct47544064
921520235
1010405940
115968156
123599b58
13220457c
14154c376
15da8395
hex9ec834

10405940 has 12 divisors (see below), whose sum is σ = 21852516. Its totient is φ = 4162368.

The previous prime is 10405897. The next prime is 10405949. The reversal of 10405940 is 4950401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5189284 + 5216656 = 2278^2 + 2284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405949) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 260129 + ... + 260168.

It is an arithmetic number, because the mean of its divisors is an integer number (1821043).

Almost surely, 210405940 is an apocalyptic number.

10405940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405940 is an abundant number, since it is smaller than the sum of its proper divisors (11446576).

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

10405940 is a wasteful number, since it uses less digits than its factorization.

10405940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520306 (or 520304 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10405940 is about 3225.8239257591. The cubic root of 10405940 is about 218.3201255858.

The spelling of 10405940 in words is "ten million, four hundred five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 520297 1040594 2081188 2601485 5202970 10405940