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130104240 = 24357431801
BaseRepresentation
bin1111100000100…
…11101110110000
3100001210222110120
413300103232300
5231301313430
620524330240
73136603440
oct760235660
9301728416
10130104240
1167493272
12376a3980
1320c54076
14133ca120
15b64e610
hex7c13bb0

130104240 has 160 divisors (see below), whose sum is σ = 471922176. Its totient is φ = 29030400.

The previous prime is 130104239. The next prime is 130104269. The reversal of 130104240 is 42401031.

It is a super-2 number, since 2×1301042402 = 33854226531955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 71340 + ... + 73140.

Almost surely, 2130104240 is an apocalyptic number.

130104240 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 130104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235961088).

130104240 is an abundant number, since it is smaller than the sum of its proper divisors (341817936).

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

130104240 is a wasteful number, since it uses less digits than its factorization.

130104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130104240 is about 11406.3245614001. The cubic root of 130104240 is about 506.7150653982.

Adding to 130104240 its reverse (42401031), we get a palindrome (172505271).

The spelling of 130104240 in words is "one hundred thirty million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1801 1806 2064 2408 2580 3010 3440 3602 3612 4515 4816 5160 5403 6020 7204 7224 9005 9030 10320 10806 12040 12607 14408 14448 18010 18060 21612 24080 25214 27015 28816 36020 36120 37821 43224 50428 54030 63035 72040 72240 75642 77443 86448 100856 108060 126070 144080 151284 154886 189105 201712 216120 232329 252140 302568 309772 378210 387215 432240 464658 504280 542101 605136 619544 756420 774430 929316 1008560 1084202 1161645 1239088 1512840 1548860 1626303 1858632 2168404 2323290 2710505 3025680 3097720 3252606 3717264 4336808 4646580 5421010 6195440 6505212 8131515 8673616 9293160 10842020 13010424 16263030 18586320 21684040 26020848 32526060 43368080 65052120 130104240