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130240 = 2651137
BaseRepresentation
bin11111110011000000
320121122201
4133303000
513131430
62442544
71051465
oct376300
9217581
10130240
1189940
1263454
1347386
143566c
15288ca
hex1fcc0

130240 has 56 divisors (see below), whose sum is σ = 347472. Its totient is φ = 46080.

The previous prime is 130223. The next prime is 130241. The reversal of 130240 is 42031.

130240 = 192 + 202 + ... + 732.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3502 + ... + 3538.

2130240 is an apocalyptic number.

130240 is a gapful number since it is divisible by the number (10) 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 130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173736).

130240 is an abundant number, since it is smaller than the sum of its proper divisors (217232).

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

130240 is a wasteful number, since it uses less digits than its factorization.

130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 130240 is about 360.8877941965. The cubic root of 130240 is about 50.6891251621.

Adding to 130240 its reverse (42031), we get a palindrome (172271).

Subtracting from 130240 its reverse (42031), we obtain a square (88209 = 2972).

The spelling of 130240 in words is "one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 176 185 220 296 320 352 370 407 440 592 704 740 814 880 1184 1480 1628 1760 2035 2368 2960 3256 3520 4070 5920 6512 8140 11840 13024 16280 26048 32560 65120 130240