[go: up one dir, main page]

Search a number
-
+
10103232 = 263101521
BaseRepresentation
bin100110100010…
…100111000000
3201000022000210
4212202213000
510041300412
61000314120
7151606326
oct46424700
921008023
1010103232
115780787
123472940
132129859
1414add16
15d4883c
hex9a29c0

10103232 has 56 divisors (see below), whose sum is σ = 27047952. Its totient is φ = 3328000.

The previous prime is 10103227. The next prime is 10103267. The reversal of 10103232 is 23230101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19132 + ... + 19652.

Almost surely, 210103232 is an apocalyptic number.

10103232 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 10103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523976).

10103232 is an abundant number, since it is smaller than the sum of its proper divisors (16944720).

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

10103232 is a wasteful number, since it uses less digits than its factorization.

10103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10103232 is about 3178.5581636962. The cubic root of 10103232 is about 216.1822878204.

Adding to 10103232 its reverse (23230101), we get a palindrome (33333333).

The spelling of 10103232 in words is "ten million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 521 606 808 1042 1212 1563 1616 2084 2424 3126 3232 4168 4848 6252 6464 8336 9696 12504 16672 19392 25008 33344 50016 52621 100032 105242 157863 210484 315726 420968 631452 841936 1262904 1683872 2525808 3367744 5051616 10103232