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1320138 = 23429281
BaseRepresentation
bin101000010010011001010
32111001220000
411002103022
5314221023
644143430
714135541
oct5022312
92431800
101320138
11821926
12537b76
13372b61
14265158
151b1243
hex1424ca

1320138 has 40 divisors (see below), whose sum is σ = 3070980. Its totient is φ = 423360.

The previous prime is 1320127. The next prime is 1320149. The reversal of 1320138 is 8310231.

It is an interprime number because it is at equal distance from previous prime (1320127) and next prime (1320149).

It can be written as a sum of positive squares in 2 ways, for example, as 1306449 + 13689 = 1143^2 + 117^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1320138.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4558 + ... + 4838.

21320138 is an apocalyptic number.

1320138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535490).

1320138 is an abundant number, since it is smaller than the sum of its proper divisors (1750842).

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

1320138 is a wasteful number, since it uses less digits than its factorization.

1320138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

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

The square root of 1320138 is about 1148.9725845293. The cubic root of 1320138 is about 109.6999536594.

Adding to 1320138 its reverse (8310231), we get a palindrome (9630369).

The spelling of 1320138 in words is "one million, three hundred twenty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 281 522 562 783 843 1566 1686 2349 2529 4698 5058 7587 8149 15174 16298 22761 24447 45522 48894 73341 146682 220023 440046 660069 1320138