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130435128 = 233213113829
BaseRepresentation
bin1111100011001…
…00100000111000
3100002102210100200
413301210200320
5231342411003
620535402200
73142452225
oct761444070
9302383320
10130435128
116769992a
1237823360
132103b865
141347494c
15b6b76a3
hex7c64838

130435128 has 48 divisors (see below), whose sum is σ = 355984200. Its totient is φ = 43143360.

The previous prime is 130435121. The next prime is 130435163. The reversal of 130435128 is 821534031.

It is a happy number.

130435128 is a `hidden beast` number, since 1 + 304 + 351 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130435121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2518 + ... + 16346.

Almost surely, 2130435128 is an apocalyptic number.

130435128 is a gapful number since it is divisible by the number (18) 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 130435128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177992100).

130435128 is an abundant number, since it is smaller than the sum of its proper divisors (225549072).

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

130435128 is a wasteful number, since it uses less digits than its factorization.

130435128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13972 (or 13965 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130435128 is about 11420.8199355388. The cubic root of 130435128 is about 507.1442699501.

Adding to 130435128 its reverse (821534031), we get a palindrome (951969159).

The spelling of 130435128 in words is "one hundred thirty million, four hundred thirty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 13829 27658 41487 55316 82974 110632 124461 165948 248922 331896 497844 995688 1811599 3623198 5434797 7246396 10869594 14492792 16304391 21739188 32608782 43478376 65217564 130435128