Search a number
-
+
10274472 = 2333133659
BaseRepresentation
bin100111001100…
…011010101000
3201022222221000
4213030122220
510112240342
61004115000
7153221505
oct47143250
921288830
1010274472
1158883aa
123535a60
132189790
1415164ac
15d7e44c
hex9cc6a8

10274472 has 64 divisors (see below), whose sum is σ = 30744000. Its totient is φ = 3160512.

The previous prime is 10274471. The next prime is 10274483. The reversal of 10274472 is 27447201.

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 (10274471) 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 15 ways as a sum of consecutive naturals, for example, 979 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (480375).

Almost surely, 210274472 is an apocalyptic number.

10274472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10274472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372000).

10274472 is an abundant number, since it is smaller than the sum of its proper divisors (20469528).

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

10274472 is a wasteful number, since it uses less digits than its factorization.

10274472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3677 counting only the distinct ones).

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

The square root of 10274472 is about 3205.3817245377. The cubic root of 10274472 is about 217.3968119323.

The spelling of 10274472 in words is "ten million, two hundred seventy-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 3659 7318 10977 14636 21954 29272 32931 43908 47567 65862 87816 95134 98793 131724 142701 190268 197586 263448 285402 380536 395172 428103 570804 790344 856206 1141608 1284309 1712412 2568618 3424824 5137236 10274472