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130130240 = 26517191259
BaseRepresentation
bin1111100000110…
…10000101000000
3100001212022010112
413300122011000
5231303131430
620525050452
73140042312
oct760320500
9301768115
10130130240
1167500859
12376b6a28
1320c62b56
14133d57b2
15b657195
hex7c1a140

130130240 has 112 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 46374912.

The previous prime is 130130237. The next prime is 130130243. The reversal of 130130240 is 42031031.

It is an interprime number because it is at equal distance from previous prime (130130237) and next prime (130130243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130243) 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, 102731 + ... + 103989.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2130130240 is an apocalyptic number.

130130240 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 130130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

130130240 is an abundant number, since it is smaller than the sum of its proper divisors (215512960).

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

130130240 is a wasteful number, since it uses less digits than its factorization.

130130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130130240 is about 11407.4642230427. The cubic root of 130130240 is about 506.7488170889.

Adding to 130130240 its reverse (42031031), we get a palindrome (172161271).

The spelling of 130130240 in words is "one hundred thirty million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 136 152 160 170 190 272 304 320 323 340 380 544 608 646 680 760 1088 1216 1259 1292 1360 1520 1615 2518 2584 2720 3040 3230 5036 5168 5440 6080 6295 6460 10072 10336 12590 12920 20144 20672 21403 23921 25180 25840 40288 42806 47842 50360 51680 80576 85612 95684 100720 103360 107015 119605 171224 191368 201440 214030 239210 342448 382736 402880 406657 428060 478420 684896 765472 813314 856120 956840 1369792 1530944 1626628 1712240 1913680 2033285 3253256 3424480 3827360 4066570 6506512 6848960 7654720 8133140 13013024 16266280 26026048 32532560 65065120 130130240