Search a number
-
+
13055742 = 234729397
BaseRepresentation
bin110001110011…
…011011111110
3220120022010000
4301303123332
511320240432
61143455130
7215654250
oct61633376
926508100
1013055742
117407a77
1244574a6
1329216bb
141a3bcd0
15122d57c
hexc736fe

13055742 has 80 divisors (see below), whose sum is σ = 34673760. Its totient is φ = 3592512.

The previous prime is 13055737. The next prime is 13055747. The reversal of 13055742 is 24755031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13055737) and next prime (13055747).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055747) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32688 + ... + 33084.

It is an arithmetic number, because the mean of its divisors is an integer number (433422).

Almost surely, 213055742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13055742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336880).

13055742 is an abundant number, since it is smaller than the sum of its proper divisors (21618018).

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

13055742 is a wasteful number, since it uses less digits than its factorization.

13055742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 13055742 is about 3613.2730314771. The cubic root of 13055742 is about 235.4690616179.

The spelling of 13055742 in words is "thirteen million, fifty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 397 406 522 567 609 783 794 1134 1191 1218 1566 1827 2349 2382 2779 3573 3654 4698 5481 5558 7146 8337 10719 10962 11513 16443 16674 21438 23026 25011 32157 32886 34539 50022 64314 69078 75033 80591 103617 150066 161182 207234 225099 241773 310851 450198 483546 621702 725319 932553 1450638 1865106 2175957 4351914 6527871 13055742