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13011444 = 22323189131
BaseRepresentation
bin110001101000…
…100111110100
3220111001100100
4301220213310
511312331234
61142514100
7215411145
oct61504764
926431310
1013011444
117387766
124435930
1329074a4
141a29acc
151220399
hexc689f4

13011444 has 72 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 4118400.

The previous prime is 13011437. The next prime is 13011463. The reversal of 13011444 is 44411031.

13011444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99259 + ... + 99389.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 213011444 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 13011444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

13011444 is an abundant number, since it is smaller than the sum of its proper divisors (21583116).

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

13011444 is a wasteful number, since it uses less digits than its factorization.

13011444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13011444 is about 3607.1379236176. The cubic root of 13011444 is about 235.2024451363.

Adding to 13011444 its reverse (44411031), we get a palindrome (57422475).

The spelling of 13011444 in words is "thirteen million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 131 178 186 262 267 279 356 372 393 524 534 558 786 801 1068 1116 1179 1572 1602 2358 2759 3204 4061 4716 5518 8122 8277 11036 11659 12183 16244 16554 23318 24366 24831 33108 34977 36549 46636 48732 49662 69954 73098 99324 104931 139908 146196 209862 361429 419724 722858 1084287 1445716 2168574 3252861 4337148 6505722 13011444