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130523904 = 283278093
BaseRepresentation
bin1111100011110…
…10001100000000
3100002121022010200
413301322030000
5231403231104
620541325200
73143302110
oct761721400
9302538120
10130523904
116774a5a5
1237866800
13210700a4
1413499040
15b6d3b39
hex7c7a300

130523904 has 108 divisors (see below), whose sum is σ = 430147536. Its totient is φ = 37287936.

The previous prime is 130523849. The next prime is 130523959. The reversal of 130523904 is 409325031.

130523904 is a `hidden beast` number, since 130 + 523 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (130523849) and next prime (130523959).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12082 + ... + 20174.

Almost surely, 2130523904 is an apocalyptic number.

130523904 is a gapful number since it is divisible by the number (14) 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 130523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215073768).

130523904 is an abundant number, since it is smaller than the sum of its proper divisors (299623632).

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

130523904 is an equidigital number, since it uses as much as digits as its factorization.

130523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 130523904 is about 11424.7058605463. The cubic root of 130523904 is about 507.2593003870.

Adding to 130523904 its reverse (409325031), we get a palindrome (539848935).

The spelling of 130523904 in words is "one hundred thirty million, five hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 8093 16128 16186 24279 32372 48558 56651 64744 72837 97116 113302 129488 145674 169953 194232 226604 258976 291348 339906 388464 453208 509859 517952 582696 679812 776928 906416 1019718 1035904 1165392 1359624 1553856 1812832 2039436 2071808 2330784 2719248 3107712 3625664 4078872 4661568 5438496 6215424 7251328 8157744 9323136 10876992 14502656 16315488 18646272 21753984 32630976 43507968 65261952 130523904