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13103046 = 236111943
BaseRepresentation
bin110001111110…
…111111000110
3220122201000000
4301332333012
511323244141
61144502130
7216242205
oct61767706
926581000
1013103046
11743a570
12447a946
13293a0a8
141a5123c
15123c5b6
hexc7efc6

13103046 has 112 divisors (see below), whose sum is σ = 34626240. Its totient is φ = 3674160.

The previous prime is 13103023. The next prime is 13103047. The reversal of 13103046 is 64030131.

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 (13103047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 304701 + ... + 304743.

Almost surely, 213103046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17313120).

13103046 is an abundant number, since it is smaller than the sum of its proper divisors (21523194).

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

13103046 is a wasteful number, since it uses less digits than its factorization.

13103046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13103046 is about 3619.8129785943. The cubic root of 13103046 is about 235.7531052948.

Adding to 13103046 its reverse (64030131), we get a palindrome (77133177).

It can be divided in two parts, 1310 and 3046, that added together give a square (4356 = 662).

The spelling of 13103046 in words is "thirteen million, one hundred three thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 43 54 57 66 81 86 99 114 129 162 171 198 209 243 258 297 342 387 418 473 486 513 594 627 729 774 817 891 946 1026 1161 1254 1419 1458 1539 1634 1782 1881 2322 2451 2673 2838 3078 3483 3762 4257 4617 4902 5346 5643 6966 7353 8019 8514 8987 9234 10449 11286 12771 13851 14706 16038 16929 17974 20898 22059 25542 26961 27702 31347 33858 38313 44118 50787 53922 62694 66177 76626 80883 101574 114939 132354 152361 161766 198531 229878 242649 304722 344817 397062 485298 595593 689634 727947 1191186 1455894 2183841 4367682 6551523 13103046