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130504608 = 2535131291
BaseRepresentation
bin1111100011101…
…01011110100000
3100002120022200000
413301311132200
5231402121413
620541100000
73143161623
oct761653640
9302508600
10130504608
1167737053
1237857600
1321064380
1413491dba
15b6cd073
hex7c757a0

130504608 has 144 divisors (see below), whose sum is σ = 414794016. Its totient is φ = 40124160.

The previous prime is 130504579. The next prime is 130504609. The reversal of 130504608 is 806405031.

130504608 is a `hidden beast` number, since 1 + 3 + 0 + 50 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130504609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100443 + ... + 101733.

It is an arithmetic number, because the mean of its divisors is an integer number (2880514).

Almost surely, 2130504608 is an apocalyptic number.

130504608 is a gapful number since it is divisible by the number (18) 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 130504608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207397008).

130504608 is an abundant number, since it is smaller than the sum of its proper divisors (284289408).

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

130504608 is a wasteful number, since it uses less digits than its factorization.

130504608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130504608 is about 11423.8613436964. The cubic root of 130504608 is about 507.2343022640.

Adding to 130504608 its reverse (806405031), we get a palindrome (936909639).

The spelling of 130504608 in words is "one hundred thirty million, five hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1291 1296 1404 1872 1944 2106 2582 2592 2808 3159 3744 3873 3888 4212 5164 5616 6318 7746 7776 8424 10328 11232 11619 12636 15492 16783 16848 20656 23238 25272 30984 33566 33696 34857 41312 46476 50349 50544 61968 67132 69714 92952 100698 101088 104571 123936 134264 139428 151047 185904 201396 209142 268528 278856 302094 313713 371808 402792 418284 453141 537056 557712 604188 627426 805584 836568 906282 1115424 1208376 1254852 1359423 1611168 1673136 1812564 2416752 2509704 2718846 3346272 3625128 4078269 4833504 5019408 5437692 7250256 8156538 10038816 10875384 14500512 16313076 21750768 32626152 43501536 65252304 130504608