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130019904 = 263473583
BaseRepresentation
bin1111011111111…
…11001001000000
3100001122200210000
413233333021000
5231241114104
620522440000
73136102530
oct757771100
9301580700
10130019904
1167435973
1237663000
1320c24871
14133a74c0
15b634639
hex7bff240

130019904 has 140 divisors (see below), whose sum is σ = 440602624. Its totient is φ = 37138176.

The previous prime is 130019899. The next prime is 130019951. The reversal of 130019904 is 409910031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34497 + ... + 38079.

Almost surely, 2130019904 is an apocalyptic number.

130019904 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 130019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220301312).

130019904 is an abundant number, since it is smaller than the sum of its proper divisors (310582720).

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

130019904 is an equidigital number, since it uses as much as digits as its factorization.

130019904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 130019904 is about 11402.6270657248. The cubic root of 130019904 is about 506.6055543404.

Adding to 130019904 its reverse (409910031), we get a palindrome (539929935).

The spelling of 130019904 in words is "one hundred thirty million, nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 3583 4032 4536 5184 6048 7166 9072 10749 12096 14332 18144 21498 25081 28664 32247 36288 42996 50162 57328 64494 75243 85992 96741 100324 114656 128988 150486 171984 193482 200648 225729 229312 257976 290223 300972 343968 386964 401296 451458 515952 580446 601944 677187 687936 773928 802592 902916 1031904 1160892 1203888 1354374 1547856 1605184 1805832 2031561 2063808 2321784 2407776 2708748 3095712 3611664 4063122 4643568 4815552 5417496 6191424 7223328 8126244 9287136 10834992 14446656 16252488 18574272 21669984 32504976 43339968 65009952 130019904