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130210320 = 24351513593
BaseRepresentation
bin1111100001011…
…01101000010000
3100002000100222110
413300231220100
5231313212240
620530505320
73140524632
oct760555020
9302010873
10130210320
1167555a39
1237735240
1320c90436
1413416a52
15b670c80
hex7c2da10

130210320 has 80 divisors (see below), whose sum is σ = 406438272. Its totient is φ = 34483200.

The previous prime is 130210313. The next prime is 130210343. The reversal of 130210320 is 23012031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130210296 and 130210305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34444 + ... + 38036.

Almost surely, 2130210320 is an apocalyptic number.

130210320 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 130210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203219136).

130210320 is an abundant number, since it is smaller than the sum of its proper divisors (276227952).

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

130210320 is a wasteful number, since it uses less digits than its factorization.

130210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130210320 is about 11410.9736657307. The cubic root of 130210320 is about 506.8527440570.

Adding to 130210320 its reverse (23012031), we get a palindrome (153222351).

The spelling of 130210320 in words is "one hundred thirty million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3593 3624 4530 6040 7186 7248 9060 10779 12080 14372 17965 18120 21558 28744 35930 36240 43116 53895 57488 71860 86232 107790 143720 172464 215580 287440 431160 542543 862320 1085086 1627629 2170172 2712715 3255258 4340344 5425430 6510516 8138145 8680688 10850860 13021032 16276290 21701720 26042064 32552580 43403440 65105160 130210320