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130035088 = 2419247479
BaseRepresentation
bin1111100000000…
…10110110010000
3100001200110121101
413300002312100
5231242110323
620523034144
73136165021
oct760026620
9301613541
10130035088
1167446317
123766b954
1320c2b751
14133acc48
15b638dad
hex7c02d90

130035088 has 60 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 60159168.

The previous prime is 130035083. The next prime is 130035109. The reversal of 130035088 is 880530031.

It is a super-2 number, since 2×1300350882 = 33818248222335488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130035083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271233 + ... + 271711.

It is an arithmetic number, because the mean of its divisors is an integer number (4535424).

Almost surely, 2130035088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130035088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

130035088 is an abundant number, since it is smaller than the sum of its proper divisors (142090352).

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

130035088 is a wasteful number, since it uses less digits than its factorization.

130035088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 130035088 is about 11403.2928577670. The cubic root of 130035088 is about 506.6252743963.

The spelling of 130035088 in words is "one hundred thirty million, thirty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 361 376 479 722 752 893 958 1444 1786 1916 2888 3572 3832 5776 7144 7664 9101 14288 16967 18202 22513 33934 36404 45026 67868 72808 90052 135736 145616 172919 180104 271472 345838 360208 427747 691676 855494 1383352 1710988 2766704 3421976 6843952 8127193 16254386 32508772 65017544 130035088