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130320232 = 23717367373
BaseRepresentation
bin1111100010010…
…00011101101000
3100002012221202021
413301020131220
5231330221412
620533114224
73141463240
oct761103550
9302187667
10130320232
1167620579
1237788974
1320ccb483
1413444b20
15b693607
hex7c48768

130320232 has 64 divisors (see below), whose sum is σ = 297285120. Its totient is φ = 52282368.

The previous prime is 130320227. The next prime is 130320233. The reversal of 130320232 is 232023031.

It is not an unprimeable number, because it can be changed into a prime (130320233) 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 15 ways as a sum of consecutive naturals, for example, 349198 + ... + 349570.

It is an arithmetic number, because the mean of its divisors is an integer number (4645080).

Almost surely, 2130320232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148642560).

130320232 is an abundant number, since it is smaller than the sum of its proper divisors (166964888).

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

130320232 is a wasteful number, since it uses less digits than its factorization.

130320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 130320232 is about 11415.7887156342. The cubic root of 130320232 is about 506.9953173217.

Adding to 130320232 its reverse (232023031), we get a palindrome (362343263).

The spelling of 130320232 in words is "one hundred thirty million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 367 373 476 734 746 952 1468 1492 2569 2611 2936 2984 5138 5222 6239 6341 10276 10444 12478 12682 20552 20888 24956 25364 43673 44387 49912 50728 87346 88774 136891 174692 177548 273782 349384 355096 547564 958237 1095128 1916474 2327147 3832948 4654294 7665896 9308588 16290029 18617176 32580058 65160116 130320232