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1308132 = 2232729179
BaseRepresentation
bin100111111010111100100
32110110102100
410333113210
5313330012
644012100
714055540
oct4772744
92413370
101308132
11813901
12531030
1336a557
14260a20
151ac8dc
hex13f5e4

1308132 has 72 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 358848.

The previous prime is 1308121. The next prime is 1308137. The reversal of 1308132 is 2318031.

It is a super-2 number, since 2×13081322 = 3422418658848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7219 + ... + 7397.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

21308132 is an apocalyptic number.

1308132 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 1308132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1308132 is an abundant number, since it is smaller than the sum of its proper divisors (2623068).

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

1308132 is a wasteful number, since it uses less digits than its factorization.

1308132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1308132 is about 1143.7359835207. The cubic root of 1308132 is about 109.3663848452.

The spelling of 1308132 in words is "one million, three hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 179 203 252 261 348 358 406 522 537 609 716 812 1044 1074 1218 1253 1611 1827 2148 2436 2506 3222 3654 3759 5012 5191 6444 7308 7518 10382 11277 15036 15573 20764 22554 31146 36337 45108 46719 62292 72674 93438 109011 145348 186876 218022 327033 436044 654066 1308132