Search a number
-
+
10151596 = 227131672
BaseRepresentation
bin100110101110…
…011010101100
3201002202101001
4212232122230
510044322341
61001330044
7152200330
oct46563254
921082331
1010151596
115804054
123496924
132145880
1414c37c0
15d57d31
hex9ae6ac

10151596 has 36 divisors (see below), whose sum is σ = 21996688. Its totient is φ = 3991968.

The previous prime is 10151593. The next prime is 10151621. The reversal of 10151596 is 69515101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10151591) 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 11 ways as a sum of consecutive naturals, for example, 60705 + ... + 60871.

Almost surely, 210151596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998344).

10151596 is an abundant number, since it is smaller than the sum of its proper divisors (11845092).

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

10151596 is a wasteful number, since it uses less digits than its factorization.

10151596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 28.

The square root of 10151596 is about 3186.1569327326. The cubic root of 10151596 is about 216.5266924973.

Adding to 10151596 its reverse (69515101), we get a palindrome (79666697).

The spelling of 10151596 in words is "ten million, one hundred fifty-one thousand, five hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 167 182 334 364 668 1169 2171 2338 4342 4676 8684 15197 27889 30394 55778 60788 111556 195223 362557 390446 725114 780892 1450228 2537899 5075798 10151596