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13052988 = 2235131033
BaseRepresentation
bin110001110010…
…110000111100
3220120011100000
4301302300330
511320143423
61143434300
7215643234
oct61626074
926504300
1013052988
1174059a3
124455990
132920380
141a3acc4
15122c843
hexc72c3c

13052988 has 72 divisors (see below), whose sum is σ = 36884848. Its totient is φ = 4012416.

The previous prime is 13052947. The next prime is 13052989. The reversal of 13052988 is 88925031.

13052988 is digitally balanced in base 2, because in such base 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052989) 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, 12120 + ... + 13152.

Almost surely, 213052988 is an apocalyptic number.

13052988 is a gapful number since it is divisible by the number (18) 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 13052988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18442424).

13052988 is an abundant number, since it is smaller than the sum of its proper divisors (23831860).

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

13052988 is a wasteful number, since it uses less digits than its factorization.

13052988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13052988 is about 3612.8919164570. The cubic root of 13052988 is about 235.4525037080.

The spelling of 13052988 in words is "thirteen million, fifty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1033 1053 1404 2066 2106 3099 3159 4132 4212 6198 6318 9297 12396 12636 13429 18594 26858 27891 37188 40287 53716 55782 80574 83673 111564 120861 161148 167346 241722 251019 334692 362583 483444 502038 725166 1004076 1087749 1450332 2175498 3263247 4350996 6526494 13052988