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10247472 = 24347907
BaseRepresentation
bin100111000101…
…110100110000
3201021121220000
4213011310300
510110404342
61003350000
7153050004
oct47056460
921247800
1010247472
11586a094
123522300
13217a3c1
14150a704
15d7644c
hex9c5d30

10247472 has 50 divisors (see below), whose sum is σ = 29662908. Its totient is φ = 3415392.

The previous prime is 10247437. The next prime is 10247473. The reversal of 10247472 is 27474201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10247473) 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 9 ways as a sum of consecutive naturals, for example, 2658 + ... + 5249.

Almost surely, 210247472 is an apocalyptic number.

10247472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10247472 is an abundant number, since it is smaller than the sum of its proper divisors (19415436).

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

10247472 is an equidigital number, since it uses as much as digits as its factorization.

10247472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 10247472 is about 3201.1672871001. The cubic root of 10247472 is about 217.2062145287.

It can be divided in two parts, 102 and 47472, that added together give a palindrome (47574).

The spelling of 10247472 in words is "ten million, two hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7907 15814 23721 31628 47442 63256 71163 94884 126512 142326 189768 213489 284652 379536 426978 569304 640467 853956 1138608 1280934 1707912 2561868 3415824 5123736 10247472