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10240965 = 335710837
BaseRepresentation
bin100111000100…
…001111000101
3201021021222000
4213010033011
510110202330
61003255513
7153022020
oct47041705
921237860
1010240965
115865209
12351a599
132177457
1415081b7
15d74560
hex9c43c5

10240965 has 32 divisors (see below), whose sum is σ = 20808960. Its totient is φ = 4681152.

The previous prime is 10240961. The next prime is 10241027. The reversal of 10240965 is 56904201.

It is not a de Polignac number, because 10240965 - 22 = 10240961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240961) 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 31 ways as a sum of consecutive naturals, for example, 4474 + ... + 6363.

It is an arithmetic number, because the mean of its divisors is an integer number (650280).

Almost surely, 210240965 is an apocalyptic number.

10240965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10240965 is an abundant number, since it is smaller than the sum of its proper divisors (10567995).

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

10240965 is a wasteful number, since it uses less digits than its factorization.

10240965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10858 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10240965 is about 3200.1507776978. The cubic root of 10240965 is about 217.1602305013.

The spelling of 10240965 in words is "ten million, two hundred forty thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 10837 32511 54185 75859 97533 162555 227577 292599 379295 487665 682731 1137885 1462995 2048193 3413655 10240965