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10240032 = 253119697
BaseRepresentation
bin100111000100…
…000000100000
3201021020200110
4213010000200
510110140112
61003251320
7153016215
oct47040040
921236613
1010240032
115864540
123519b40
132176bba
141507b0c
15d7413c
hex9c4020

10240032 has 48 divisors (see below), whose sum is σ = 29326752. Its totient is φ = 3102720.

The previous prime is 10239989. The next prime is 10240033. The reversal of 10240032 is 23004201.

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

It is a super-2 number, since 2×102400322 = 209716510722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10240033) 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, 3793 + ... + 5904.

It is an arithmetic number, because the mean of its divisors is an integer number (610974).

Almost surely, 210240032 is an apocalyptic number.

10240032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10240032 is an abundant number, since it is smaller than the sum of its proper divisors (19086720).

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

10240032 is a wasteful number, since it uses less digits than its factorization.

10240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10240032 is about 3200.0049999961. The cubic root of 10240032 is about 217.1536355288.

Adding to 10240032 its reverse (23004201), we get a palindrome (33244233).

It can be divided in two parts, 10 and 240032, that added together give a palindrome (240042).

The spelling of 10240032 in words is "ten million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9697 19394 29091 38788 58182 77576 106667 116364 155152 213334 232728 310304 320001 426668 465456 640002 853336 930912 1280004 1706672 2560008 3413344 5120016 10240032