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130304928 = 25313263397
BaseRepresentation
bin1111100010001…
…00101110100000
3100002012011202110
413301010232200
5231324224203
620532515320
73141400515
oct761045640
9302164673
10130304928
1167610026
123777bb40
1320cc4510
141343d30c
15b68dd03
hex7c44ba0

130304928 has 96 divisors (see below), whose sum is σ = 370694016. Its totient is φ = 39840768.

The previous prime is 130304887. The next prime is 130304953. The reversal of 130304928 is 829403031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1303049282 = 33958748522170368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130304895 and 130304904.

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, 328026 + ... + 328422.

It is an arithmetic number, because the mean of its divisors is an integer number (3861396).

Almost surely, 2130304928 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 130304928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185347008).

130304928 is an abundant number, since it is smaller than the sum of its proper divisors (240389088).

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

130304928 is a wasteful number, since it uses less digits than its factorization.

130304928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 130304928 is about 11415.1183962323. The cubic root of 130304928 is about 506.9754704159.

Adding to 130304928 its reverse (829403031), we get a palindrome (959707959).

The spelling of 130304928 in words is "one hundred thirty million, three hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 263 312 397 416 526 624 789 794 1052 1191 1248 1578 1588 2104 2382 3156 3176 3419 4208 4764 5161 6312 6352 6838 8416 9528 10257 10322 12624 12704 13676 15483 19056 20514 20644 25248 27352 30966 38112 41028 41288 54704 61932 82056 82576 104411 109408 123864 164112 165152 208822 247728 313233 328224 417644 495456 626466 835288 1252932 1357343 1670576 2505864 2714686 3341152 4072029 5011728 5429372 8144058 10023456 10858744 16288116 21717488 32576232 43434976 65152464 130304928