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10364040 = 2332528789
BaseRepresentation
bin100111100010…
…010010001000
3201111112210100
4213202102020
510123122130
61010045400
7154043601
oct47422210
921445710
1010364040
115939725
123579860
1321bb48b
14153ada8
15d9ac60
hex9e2488

10364040 has 48 divisors (see below), whose sum is σ = 33684300. Its totient is φ = 2763648.

The previous prime is 10364027. The next prime is 10364069. The reversal of 10364040 is 4046301.

It can be written as a sum of positive squares in 2 ways, for example, as 10150596 + 213444 = 3186^2 + 462^2 .

It is a super-3 number, since 3×103640403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14035 + ... + 14754.

Almost surely, 210364040 is an apocalyptic number.

10364040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10364040 is an abundant number, since it is smaller than the sum of its proper divisors (23320260).

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

10364040 is a wasteful number, since it uses less digits than its factorization.

10364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28806 (or 28799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10364040 is about 3219.3229101785. The cubic root of 10364040 is about 218.0267060400.

The spelling of 10364040 in words is "ten million, three hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28789 57578 86367 115156 143945 172734 230312 259101 287890 345468 431835 518202 575780 690936 863670 1036404 1151560 1295505 1727340 2072808 2591010 3454680 5182020 10364040