Search a number
-
+
130233936 = 24373311171
BaseRepresentation
bin1111100001100…
…11011001010000
3100002001120101010
413300303121100
5231314441221
620531210520
73140653530
oct760633120
9302046333
10130233936
1167571758
1237746a40
1320c9b101
14134214c0
15b677c76
hex7c33650

130233936 has 80 divisors (see below), whose sum is σ = 385991168. Its totient is φ = 37065600.

The previous prime is 130233931. The next prime is 130233947. The reversal of 130233936 is 639332031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130233931) 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, 110631 + ... + 111801.

Almost surely, 2130233936 is an apocalyptic number.

130233936 is a gapful number since it is divisible by the number (16) 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 130233936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192995584).

130233936 is an abundant number, since it is smaller than the sum of its proper divisors (255757232).

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

130233936 is a wasteful number, since it uses less digits than its factorization.

130233936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 130233936 is about 11412.0084121946. The cubic root of 130233936 is about 506.8833845133.

Adding to 130233936 its reverse (639332031), we get a palindrome (769565967).

The spelling of 130233936 in words is "one hundred thirty million, two hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 662 993 1171 1324 1986 2317 2342 2648 3513 3972 4634 4684 5296 6951 7026 7944 8197 9268 9368 13902 14052 15888 16394 18536 18736 24591 27804 28104 32788 37072 49182 55608 56208 65576 98364 111216 131152 196728 387601 393456 775202 1162803 1550404 2325606 2713207 3100808 4651212 5426414 6201616 8139621 9302424 10852828 16279242 18604848 21705656 32558484 43411312 65116968 130233936