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130026720 = 2535299341
BaseRepresentation
bin1111100000000…
…00110011100000
3100001200001010110
413300000303200
5231241323340
620522531320
73136131435
oct760006340
9301601113
10130026720
116743aaaa
1237666b40
1320c279b5
14133a9b8c
15b636680
hex7c00ce0

130026720 has 96 divisors (see below), whose sum is σ = 423753120. Its totient is φ = 33474560.

The previous prime is 130026683. The next prime is 130026733. The reversal of 130026720 is 27620031.

It is a happy number.

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

It is a zygodrome in base 2.

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, 9250 + ... + 18590.

It is an arithmetic number, because the mean of its divisors is an integer number (4414095).

Almost surely, 2130026720 is an apocalyptic number.

130026720 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 130026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211876560).

130026720 is an abundant number, since it is smaller than the sum of its proper divisors (293726400).

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

130026720 is a wasteful number, since it uses less digits than its factorization.

130026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 130026720 is about 11402.9259403015. The cubic root of 130026720 is about 506.6144067367.

Adding to 130026720 its reverse (27620031), we get a palindrome (157646751).

The spelling of 130026720 in words is "one hundred thirty million, twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 9341 13920 18682 28023 37364 46705 56046 74728 93410 112092 140115 149456 186820 224184 270889 280230 298912 373640 448368 541778 560460 747280 812667 896736 1083556 1120920 1354445 1494560 1625334 2167112 2241840 2708890 3250668 4063335 4334224 4483680 5417780 6501336 8126670 8668448 10835560 13002672 16253340 21671120 26005344 32506680 43342240 65013360 130026720