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130044320 = 2557671733
BaseRepresentation
bin1111100000001…
…01000110100000
3100001200221021022
413300011012200
5231242404240
620523145012
73136233650
oct760050640
9301627238
10130044320
116745224a
1237675168
1320c32a03
14133b2360
15b63b9b5
hex7c051a0

130044320 has 96 divisors (see below), whose sum is σ = 356565888. Its totient is φ = 43895808.

The previous prime is 130044293. The next prime is 130044329. The reversal of 130044320 is 23440031.

It is not an unprimeable number, because it can be changed into a prime (130044329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74174 + ... + 75906.

It is an arithmetic number, because the mean of its divisors is an integer number (3714228).

Almost surely, 2130044320 is an apocalyptic number.

130044320 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 130044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178282944).

130044320 is an abundant number, since it is smaller than the sum of its proper divisors (226521568).

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

130044320 is a wasteful number, since it uses less digits than its factorization.

130044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 130044320 is about 11403.6976459392. The cubic root of 130044320 is about 506.6372636061.

Adding to 130044320 its reverse (23440031), we get a palindrome (153484351).

The spelling of 130044320 in words is "one hundred thirty million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1733 1876 2144 2345 2680 3466 3752 4690 5360 6932 7504 8665 9380 10720 12131 13864 15008 17330 18760 24262 27728 34660 37520 48524 55456 60655 69320 75040 97048 116111 121310 138640 194096 232222 242620 277280 388192 464444 485240 580555 812777 928888 970480 1161110 1625554 1857776 1940960 2322220 3251108 3715552 4063885 4644440 6502216 8127770 9288880 13004432 16255540 18577760 26008864 32511080 65022160 130044320