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130745472 = 27311132381
BaseRepresentation
bin1111100101100…
…00010010000000
3100010000120001220
413302300102000
5231432323342
620550155040
73145214064
oct762602200
9303016056
10130745472
1167891010
1237952a80
1321119bb0
1413515aa4
15b7295ec
hex7cb0480

130745472 has 128 divisors (see below), whose sum is σ = 408179520. Its totient is φ = 36556800.

The previous prime is 130745443. The next prime is 130745473. The reversal of 130745472 is 274547031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (130745473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53722 + ... + 56102.

Almost surely, 2130745472 is an apocalyptic number.

130745472 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 130745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204089760).

130745472 is an abundant number, since it is smaller than the sum of its proper divisors (277434048).

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

130745472 is a wasteful number, since it uses less digits than its factorization.

130745472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 130745472 is about 11434.3986286993. The cubic root of 130745472 is about 507.5461671057.

The spelling of 130745472 in words is "one hundred thirty million, seven hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2381 2496 3432 4224 4576 4762 4992 6864 7143 9152 9524 13728 14286 18304 19048 26191 27456 28572 30953 38096 52382 54912 57144 61906 76192 78573 92859 104764 114288 123812 152384 157146 185718 209528 228576 247624 304768 314292 340483 371436 419056 457152 495248 628584 680966 742872 838112 914304 990496 1021449 1257168 1361932 1485744 1676224 1980992 2042898 2514336 2723864 2971488 3352448 3961984 4085796 5028672 5447728 5942976 8171592 10057344 10895456 11885952 16343184 21790912 32686368 43581824 65372736 130745472