Search a number
-
+
10203136 = 2124753
BaseRepresentation
bin100110111011…
…000000000000
3201012101001221
4212323000000
510103000021
61002404424
7152503516
oct46730000
921171057
1010203136
115839849
123500714
132163178
1414d84b6
15d68241
hex9bb000

10203136 has 52 divisors (see below), whose sum is σ = 21231072. Its totient is φ = 4898816.

The previous prime is 10203119. The next prime is 10203181. The reversal of 10203136 is 63130201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192486 + ... + 192538.

Almost surely, 210203136 is an apocalyptic number.

10203136 is a gapful number since it is divisible by the number (16) 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 10203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615536).

10203136 is an abundant number, since it is smaller than the sum of its proper divisors (11027936).

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

10203136 is an frugal number, since it uses more digits than its factorization.

10203136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 10203136 is about 3194.2348066478. The cubic root of 10203136 is about 216.8925119086.

Adding to 10203136 its reverse (63130201), we get a palindrome (73333337).

The spelling of 10203136 in words is "ten million, two hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 128 188 212 256 376 424 512 752 848 1024 1504 1696 2048 2491 3008 3392 4096 4982 6016 6784 9964 12032 13568 19928 24064 27136 39856 48128 54272 79712 96256 108544 159424 192512 217088 318848 637696 1275392 2550784 5101568 10203136