Search a number
-
+
10333116 = 2233241397
BaseRepresentation
bin100111011010…
…101110111100
3201102222101000
4213122232330
510121124431
61005250300
7153554463
oct47325674
921388330
1010333116
115918472
123563990
1321aa391
14152d9da
15d919e6
hex9dabbc

10333116 has 48 divisors (see below), whose sum is σ = 26968480. Its totient is φ = 3421440.

The previous prime is 10333111. The next prime is 10333123. The reversal of 10333116 is 61133301.

Adding to 10333116 its reverse (61133301), we get a palindrome (71466417).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25830 + ... + 26226.

It is a self-describing number.

Almost surely, 210333116 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 10333116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484240).

10333116 is an abundant number, since it is smaller than the sum of its proper divisors (16635364).

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

10333116 is a wasteful number, since it uses less digits than its factorization.

10333116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 10333116 is about 3214.5164488613. The cubic root of 10333116 is about 217.8096422053.

The spelling of 10333116 in words is "ten million, three hundred thirty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 397 482 723 794 964 1191 1446 1588 2169 2382 2892 3573 4338 4764 6507 7146 8676 10719 13014 14292 21438 26028 42876 95677 191354 287031 382708 574062 861093 1148124 1722186 2583279 3444372 5166558 10333116