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130032840 = 23357283547
BaseRepresentation
bin1111100000000…
…10010011001000
3100001200100112010
413300002103020
5231242022330
620523015520
73136155330
oct760022310
9301610463
10130032840
1167444663
123766a5a0
1320c2a712
14133ac0c0
15b6383b0
hex7c024c8

130032840 has 128 divisors (see below), whose sum is σ = 448220160. Its totient is φ = 29562624.

The previous prime is 130032811. The next prime is 130032883. The reversal of 130032840 is 48230031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237447 + ... + 237993.

It is an arithmetic number, because the mean of its divisors is an integer number (3501720).

Almost surely, 2130032840 is an apocalyptic number.

130032840 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 130032840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224110080).

130032840 is an abundant number, since it is smaller than the sum of its proper divisors (318187320).

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

130032840 is a wasteful number, since it uses less digits than its factorization.

130032840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 130032840 is about 11403.1942893209. The cubic root of 130032840 is about 506.6223549274.

Adding to 130032840 its reverse (48230031), we get a palindrome (178262871).

The spelling of 130032840 in words is "one hundred thirty million, thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 283 420 547 566 840 849 1094 1132 1415 1641 1698 1981 2188 2264 2735 2830 3282 3396 3829 3962 4245 4376 5470 5660 5943 6564 6792 7658 7924 8205 8490 9905 10940 11320 11487 11886 13128 15316 15848 16410 16980 19145 19810 21880 22974 23772 29715 30632 32820 33960 38290 39620 45948 47544 57435 59430 65640 76580 79240 91896 114870 118860 153160 154801 229740 237720 309602 459480 464403 619204 774005 928806 1083607 1238408 1548010 1857612 2167214 2322015 3096020 3250821 3715224 4334428 4644030 5418035 6192040 6501642 8668856 9288060 10836070 13003284 16254105 18576120 21672140 26006568 32508210 43344280 65016420 130032840