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130253280 = 2535893049
BaseRepresentation
bin1111100001110…
…00000111100000
3100002002112220120
413300320013200
5231321101110
620531440240
73141064113
oct760700740
9302075816
10130253280
1167585243
1237756080
1320ca6b61
141342857a
15b67d870
hex7c381e0

130253280 has 96 divisors (see below), whose sum is σ = 415044000. Its totient is φ = 34332672.

The previous prime is 130253237. The next prime is 130253287. The reversal of 130253280 is 82352031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130253280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130253287) 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, 41196 + ... + 44244.

It is an arithmetic number, because the mean of its divisors is an integer number (4323375).

Almost surely, 2130253280 is an apocalyptic number.

130253280 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 130253280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207522000).

130253280 is an abundant number, since it is smaller than the sum of its proper divisors (284790720).

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

130253280 is a wasteful number, since it uses less digits than its factorization.

130253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 130253280 is about 11412.8559090177. The cubic root of 130253280 is about 506.9084795258.

The spelling of 130253280 in words is "one hundred thirty million, two hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3049 3560 4272 5340 6098 7120 8544 9147 10680 12196 14240 15245 18294 21360 24392 30490 36588 42720 45735 48784 60980 73176 91470 97568 121960 146352 182940 243920 271361 292704 365880 487840 542722 731760 814083 1085444 1356805 1463520 1628166 2170888 2713610 3256332 4070415 4341776 5427220 6512664 8140830 8683552 10854440 13025328 16281660 21708880 26050656 32563320 43417760 65126640 130253280