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430128080 = 24519614639
BaseRepresentation
bin11001101000110…
…011101111010000
31002222100202210122
4121220303233100
51340103044310
6110403045412
713442012504
oct3150635720
91088322718
10430128080
11200883658
12100070868
136b15c975
14411a8304
1527b65555
hex19a33bd0

430128080 has 80 divisors (see below), whose sum is σ = 1070169600. Its totient is φ = 160289280.

The previous prime is 430128047. The next prime is 430128119. The reversal of 430128080 is 80821034.

It is a tau number, because it is divible by the number of its divisors (80).

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, 90401 + ... + 95039.

It is an arithmetic number, because the mean of its divisors is an integer number (13377120).

Almost surely, 2430128080 is an apocalyptic number.

430128080 is a gapful number since it is divisible by the number (40) 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 430128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535084800).

430128080 is an abundant number, since it is smaller than the sum of its proper divisors (640041520).

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

430128080 is a wasteful number, since it uses less digits than its factorization.

430128080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 430128080 is about 20739.5294064258. The cubic root of 430128080 is about 754.8591641168.

The spelling of 430128080 in words is "four hundred thirty million, one hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 61 76 80 95 122 152 190 244 304 305 380 488 610 760 976 1159 1220 1520 2318 2440 4636 4639 4880 5795 9272 9278 11590 18544 18556 23180 23195 37112 46360 46390 74224 88141 92720 92780 176282 185560 282979 352564 371120 440705 565958 705128 881410 1131916 1410256 1414895 1762820 2263832 2829790 3525640 4527664 5376601 5659580 7051280 10753202 11319160 21506404 22638320 26883005 43012808 53766010 86025616 107532020 215064040 430128080