Search a number
-
+
10235040 = 253521323
BaseRepresentation
bin100111000010…
…110010100000
3201020222211120
4213002302200
510110010130
61003212240
7152665524
oct47026240
921228746
1010235040
115860812
123517080
13217484a
141505d84
15d72910
hex9c2ca0

10235040 has 48 divisors (see below), whose sum is σ = 32241888. Its totient is φ = 2729216.

The previous prime is 10235039. The next prime is 10235047. The reversal of 10235040 is 4053201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10235047) 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, 10182 + ... + 11141.

It is an arithmetic number, because the mean of its divisors is an integer number (671706).

Almost surely, 210235040 is an apocalyptic number.

10235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10235040 is an abundant number, since it is smaller than the sum of its proper divisors (22006848).

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

10235040 is a wasteful number, since it uses less digits than its factorization.

10235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21341 (or 21333 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10235040 is about 3199.2249061296. The cubic root of 10235040 is about 217.1183424376.

Adding to 10235040 its reverse (4053201), we get a palindrome (14288241).

The spelling of 10235040 in words is "ten million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21323 42646 63969 85292 106615 127938 170584 213230 255876 319845 341168 426460 511752 639690 682336 852920 1023504 1279380 1705840 2047008 2558760 3411680 5117520 10235040