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130199472 = 243213157443
BaseRepresentation
bin1111100001010…
…10111110110000
3100001222211002200
413300222332300
5231312340342
620530343200
73140451204
oct760527660
9301884080
10130199472
1167548877
123772ab00
1320c88510
1413412b04
15b66c94c
hex7c2afb0

130199472 has 120 divisors (see below), whose sum is σ = 395797584. Its totient is φ = 39716352.

The previous prime is 130199471. The next prime is 130199479. The reversal of 130199472 is 274991031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130199471) 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, 293683 + ... + 294125.

Almost surely, 2130199472 is an apocalyptic number.

130199472 is a gapful number since it is divisible by the number (12) 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 130199472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197898792).

130199472 is an abundant number, since it is smaller than the sum of its proper divisors (265598112).

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

130199472 is a wasteful number, since it uses less digits than its factorization.

130199472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 130199472 is about 11410.4983239121. The cubic root of 130199472 is about 506.8386681342.

The spelling of 130199472 in words is "one hundred thirty million, one hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 157 208 234 312 314 443 468 471 624 628 886 936 942 1256 1329 1413 1772 1872 1884 2041 2512 2658 2826 3544 3768 3987 4082 5316 5652 5759 6123 7088 7536 7974 8164 10632 11304 11518 12246 15948 16328 17277 18369 21264 22608 23036 24492 31896 32656 34554 36738 46072 48984 51831 63792 69108 69551 73476 92144 97968 103662 138216 139102 146952 207324 208653 276432 278204 293904 414648 417306 556408 625959 829296 834612 904163 1112816 1251918 1669224 1808326 2503836 2712489 3338448 3616652 5007672 5424978 7233304 8137467 10015344 10849956 14466608 16274934 21699912 32549868 43399824 65099736 130199472