Search a number
-
+
10023336 = 23321719431
BaseRepresentation
bin100110001111…
…000110101000
3200212020102200
4212033012220
510031221321
6554500200
7151124361
oct46170650
920766380
1010023336
115726754
123434660
1320cc38b
14148cb68
15d2ed26
hex98f1a8

10023336 has 96 divisors (see below), whose sum is σ = 30326400. Its totient is φ = 2972160.

The previous prime is 10023287. The next prime is 10023347. The reversal of 10023336 is 63332001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23041 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 210023336 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 10023336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200).

10023336 is an abundant number, since it is smaller than the sum of its proper divisors (20303064).

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

10023336 is a wasteful number, since it uses less digits than its factorization.

10023336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 10023336 is about 3165.9652556527. The cubic root of 10023336 is about 215.6109251052.

Adding to 10023336 its reverse (63332001), we get a palindrome (73355337).

It can be divided in two parts, 100 and 23336, that added together give a triangular number (23436 = T216).

The spelling of 10023336 in words is "ten million, twenty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 431 456 612 646 684 862 969 1224 1292 1293 1368 1724 1938 2584 2586 2907 3448 3876 3879 5172 5814 7327 7752 7758 8189 10344 11628 14654 15516 16378 21981 23256 24567 29308 31032 32756 43962 49134 58616 65512 65943 73701 87924 98268 131886 139213 147402 175848 196536 263772 278426 294804 417639 527544 556852 589608 835278 1113704 1252917 1670556 2505834 3341112 5011668 10023336