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130283440 = 2457832803
BaseRepresentation
bin1111100001111…
…11011110110000
3100002011002021121
413300333132300
5231323032230
620532232024
73141251050
oct760773660
9302132247
10130283440
11675a5971
123776b614
1320cb77c1
1413435560
15b68777a
hex7c3f7b0

130283440 has 80 divisors (see below), whose sum is σ = 350477568. Its totient is φ = 44114688.

The previous prime is 130283423. The next prime is 130283453. The reversal of 130283440 is 44382031.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45079 + ... + 47881.

Almost surely, 2130283440 is an apocalyptic number.

130283440 is a gapful number since it is divisible by the number (10) 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 130283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175238784).

130283440 is an abundant number, since it is smaller than the sum of its proper divisors (220194128).

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

130283440 is a wasteful number, since it uses less digits than its factorization.

130283440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 130283440 is about 11414.1771494926. The cubic root of 130283440 is about 506.9476012019.

The spelling of 130283440 in words is "one hundred thirty million, two hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1660 2324 2803 2905 3320 4648 5606 5810 6640 9296 11212 11620 14015 19621 22424 23240 28030 39242 44848 46480 56060 78484 98105 112120 156968 196210 224240 232649 313936 392420 465298 784840 930596 1163245 1569680 1628543 1861192 2326490 3257086 3722384 4652980 6514172 8142715 9305960 13028344 16285430 18611920 26056688 32570860 65141720 130283440