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10157232 = 243613469
BaseRepresentation
bin100110101111…
…110010110000
3201010001002210
4212233302300
510100012412
61001412120
7152222631
oct46576260
921101083
1010157232
115808308
12349a040
1321482c7
1414c5888
15d5983c
hex9afcb0

10157232 has 40 divisors (see below), whose sum is σ = 26677360. Its totient is φ = 3329280.

The previous prime is 10157227. The next prime is 10157233. The reversal of 10157232 is 23275101.

It is a junction number, because it is equal to n+sod(n) for n = 10157199 and 10157208.

It is not an unprimeable number, because it can be changed into a prime (10157233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 4662.

It is an arithmetic number, because the mean of its divisors is an integer number (666934).

Almost surely, 210157232 is an apocalyptic number.

10157232 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 10157232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338680).

10157232 is an abundant number, since it is smaller than the sum of its proper divisors (16520128).

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

10157232 is a wasteful number, since it uses less digits than its factorization.

10157232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10157232 is about 3187.0412611072. The cubic root of 10157232 is about 216.5667557763.

The spelling of 10157232 in words is "ten million, one hundred fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 3469 6938 10407 13876 20814 27752 41628 55504 83256 166512 211609 423218 634827 846436 1269654 1692872 2539308 3385744 5078616 10157232