Search a number
-
+
10463136 = 253108991
BaseRepresentation
bin100111111010…
…011110100000
3201200120201120
4213322132200
510134310021
61012132240
7154635525
oct47723640
921616646
1010463136
1159a7122
123607080
132224608
14156514c
15dba2c6
hex9fa7a0

10463136 has 24 divisors (see below), whose sum is σ = 27465984. Its totient is φ = 3487680.

The previous prime is 10463081. The next prime is 10463153. The reversal of 10463136 is 63136401.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 54400 + ... + 54591.

It is an arithmetic number, because the mean of its divisors is an integer number (1144416).

Almost surely, 210463136 is an apocalyptic number.

10463136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10463136 is an abundant number, since it is smaller than the sum of its proper divisors (17002848).

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

10463136 is a wasteful number, since it uses less digits than its factorization.

10463136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109004 (or 108996 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10463136 is about 3234.6771090790. The cubic root of 10463136 is about 218.7193920712.

Adding to 10463136 its reverse (63136401), we get a palindrome (73599537).

The spelling of 10463136 in words is "ten million, four hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 108991 217982 326973 435964 653946 871928 1307892 1743856 2615784 3487712 5231568 10463136