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128216560 = 24519671259
BaseRepresentation
bin1111010010001…
…10110111110000
322221021002001111
413221012313300
5230310412220
620420043104
73114552133
oct751066760
9287232044
10128216560
1166413aaa
1236b33494
1320742ab4
141305821a
15b3ca15a
hex7a46df0

128216560 has 80 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 47824128.

The previous prime is 128216531. The next prime is 128216603. The reversal of 128216560 is 65612821.

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, 101211 + ... + 102469.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2128216560 is an apocalyptic number.

128216560 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 128216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

128216560 is an abundant number, since it is smaller than the sum of its proper divisors (190513040).

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

128216560 is a wasteful number, since it uses less digits than its factorization.

128216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 128216560 is about 11323.2751445860. The cubic root of 128216560 is about 504.2524770120.

The spelling of 128216560 in words is "one hundred twenty-eight million, two hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 67 76 80 95 134 152 190 268 304 335 380 536 670 760 1072 1259 1273 1340 1520 2518 2546 2680 5036 5092 5360 6295 6365 10072 10184 12590 12730 20144 20368 23921 25180 25460 47842 50360 50920 84353 95684 100720 101840 119605 168706 191368 239210 337412 382736 421765 478420 674824 843530 956840 1349648 1602707 1687060 1913680 3205414 3374120 6410828 6748240 8013535 12821656 16027070 25643312 32054140 64108280 128216560