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130024320 = 2735241281
BaseRepresentation
bin1111100000000…
…00001110000000
3100001122220211120
413300000032000
5231241234240
620522512240
73136121436
oct760001600
9301586746
10130024320
1167439218
1237665680
1320c2688a
14133a8d56
15b635ad0
hex7c00380

130024320 has 128 divisors (see below), whose sum is σ = 417653280. Its totient is φ = 34406400.

The previous prime is 130024291. The next prime is 130024339. The reversal of 130024320 is 23420031.

130024320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (15).

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 130024320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462580 + ... + 462860.

Almost surely, 2130024320 is an apocalyptic number.

130024320 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 130024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208826640).

130024320 is an abundant number, since it is smaller than the sum of its proper divisors (287628960).

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

130024320 is a wasteful number, since it uses less digits than its factorization.

130024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130024320 is about 11402.8207036680. The cubic root of 130024320 is about 506.6112897310.

Adding to 130024320 its reverse (23420031), we get a palindrome (153444351).

The spelling of 130024320 in words is "one hundred thirty million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 241 281 320 384 480 482 562 640 723 843 960 964 1124 1205 1405 1446 1686 1920 1928 2248 2410 2810 2892 3372 3615 3856 4215 4496 4820 5620 5784 6744 7230 7712 8430 8992 9640 11240 11568 13488 14460 15424 16860 17984 19280 22480 23136 26976 28920 30848 33720 35968 38560 44960 46272 53952 57840 67440 67721 77120 89920 92544 107904 115680 134880 135442 154240 179840 203163 231360 269760 270884 338605 406326 462720 539520 541768 677210 812652 1015815 1083536 1354420 1625304 2031630 2167072 2708840 3250608 4063260 4334144 5417680 6501216 8126520 8668288 10835360 13002432 16253040 21670720 26004864 32506080 43341440 65012160 130024320