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13148532 = 22321947409
BaseRepresentation
bin110010001010…
…000101110100
3220202000101200
4302022011310
511331223112
61145452500
7216521625
oct62120564
926660350
1013148532
117470761
1244a1130
1329549c7
141a63a4c
15124acdc
hexc8a174

13148532 has 72 divisors (see below), whose sum is σ = 35817600. Its totient is φ = 4053888.

The previous prime is 13148507. The next prime is 13148533. The reversal of 13148532 is 23584131.

It is a happy number.

Its product of digits (2880) is a multiple of the sum of its prime divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 13148496 and 13148505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13148533) 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, 31944 + ... + 32352.

Almost surely, 213148532 is an apocalyptic number.

13148532 is a gapful number since it is divisible by the number (12) 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 13148532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908800).

13148532 is an abundant number, since it is smaller than the sum of its proper divisors (22669068).

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

13148532 is a wasteful number, since it uses less digits than its factorization.

13148532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 480 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13148532 is about 3626.0904566764. The cubic root of 13148532 is about 236.0255885306.

The spelling of 13148532 in words is "thirteen million, one hundred forty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 409 423 564 684 818 846 893 1227 1636 1692 1786 2454 2679 3572 3681 4908 5358 7362 7771 8037 10716 14724 15542 16074 19223 23313 31084 32148 38446 46626 57669 69939 76892 93252 115338 139878 173007 230676 279756 346014 365237 692028 730474 1095711 1460948 2191422 3287133 4382844 6574266 13148532