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130402720 = 2557216633
BaseRepresentation
bin1111100010111…
…00100110100000
3100002101010220101
413301130212200
5231340341340
620534552144
73142255600
oct761344640
9302333811
10130402720
1167677548
1237808654
1321029b96
1413466c00
15b6acc9a
hex7c5c9a0

130402720 has 72 divisors (see below), whose sum is σ = 358396164. Its totient is φ = 44706816.

The previous prime is 130402669. The next prime is 130402759. The reversal of 130402720 is 27204031.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 9314704 = 11004^2 + 3052^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477 + ... + 16156.

Almost surely, 2130402720 is an apocalyptic number.

130402720 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 130402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179198082).

130402720 is an abundant number, since it is smaller than the sum of its proper divisors (227993444).

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

130402720 is a wasteful number, since it uses less digits than its factorization.

130402720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16662 (or 16647 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 130402720 is about 11419.4010350806. The cubic root of 130402720 is about 507.1022646684.

Adding to 130402720 its reverse (27204031), we get a palindrome (157606751).

The spelling of 130402720 in words is "one hundred thirty million, four hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 16633 33266 66532 83165 116431 133064 166330 232862 266128 332660 465724 532256 582155 665320 815017 931448 1164310 1330640 1630034 1862896 2328620 2661280 3260068 3725792 4075085 4657240 6520136 8150170 9314480 13040272 16300340 18628960 26080544 32600680 65201360 130402720