Search a number
-
+
13244976 = 24321947103
BaseRepresentation
bin110010100001…
…101000110000
3220220220200200
4302201220300
511342314401
61151515200
7220403043
oct62415060
926826620
1013244976
117527168
124528b00
132989884
141a8ac5a
151269686
hexca1a30

13244976 has 120 divisors (see below), whose sum is σ = 40235520. Its totient is φ = 4053888.

The previous prime is 13244971. The next prime is 13244977. The reversal of 13244976 is 67944231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13244976.

It is not an unprimeable number, because it can be changed into a prime (13244971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128541 + ... + 128643.

It is an arithmetic number, because the mean of its divisors is an integer number (335296).

Almost surely, 213244976 is an apocalyptic number.

13244976 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 13244976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20117760).

13244976 is an abundant number, since it is smaller than the sum of its proper divisors (26990544).

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

13244976 is a wasteful number, since it uses less digits than its factorization.

13244976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13244976 is about 3639.3647797384. The cubic root of 13244976 is about 236.6012629781.

The spelling of 13244976 in words is "thirteen million, two hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 47 48 57 72 76 94 103 114 141 144 152 171 188 206 228 282 304 309 342 376 412 423 456 564 618 684 752 824 846 893 912 927 1128 1236 1368 1648 1692 1786 1854 1957 2256 2472 2679 2736 3384 3572 3708 3914 4841 4944 5358 5871 6768 7144 7416 7828 8037 9682 10716 11742 14288 14523 14832 15656 16074 17613 19364 21432 23484 29046 31312 32148 35226 38728 42864 43569 46968 58092 64296 70452 77456 87138 91979 93936 116184 128592 140904 174276 183958 232368 275937 281808 348552 367916 551874 697104 735832 827811 1103748 1471664 1655622 2207496 3311244 4414992 6622488 13244976