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128132080 = 2452383839
BaseRepresentation
bin1111010001100…
…10001111110000
322221002210011121
413220302033300
5230300211310
620414152024
73114050626
oct750621760
9287083147
10128132080
116636658a
1236ab2614
13207134cb
1413035516
15b3b00da
hex7a323f0

128132080 has 80 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 48376064.

The previous prime is 128132051. The next prime is 128132087. The reversal of 128132080 is 80231821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128132087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152301 + ... + 153139.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2128132080 is an apocalyptic number.

128132080 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 128132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

128132080 is an abundant number, since it is smaller than the sum of its proper divisors (186847760).

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

128132080 is a wasteful number, since it uses less digits than its factorization.

128132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 128132080 is about 11319.5441604333. The cubic root of 128132080 is about 504.1417045067.

The spelling of 128132080 in words is "one hundred twenty-eight million, one hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 83 92 115 166 184 230 332 368 415 460 664 830 839 920 1328 1660 1678 1840 1909 3320 3356 3818 4195 6640 6712 7636 8390 9545 13424 15272 16780 19090 19297 30544 33560 38180 38594 67120 69637 76360 77188 96485 139274 152720 154376 192970 278548 308752 348185 385940 557096 696370 771880 1114192 1392740 1543760 1601651 2785480 3203302 5570960 6406604 8008255 12813208 16016510 25626416 32033020 64066040 128132080