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128089680 = 2435717517
BaseRepresentation
bin1111010001001…
…11111001010000
322221000122000020
413220213321100
5230242332210
620413223440
73113513205
oct750477120
9287018006
10128089680
1166337744
1236a91b80
13206ca114
1413023cac
15b3a2770
hex7a27e50

128089680 has 80 divisors (see below), whose sum is σ = 402724224. Its totient is φ = 33671680.

The previous prime is 128089673. The next prime is 128089693. The reversal of 128089680 is 86980821.

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

It is a super-2 number, since 2×1280896802 = 32813932245004800, which contains 22 as substring.

It is a zygodrome in base 11.

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, 13282 + ... + 20798.

Almost surely, 2128089680 is an apocalyptic number.

128089680 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 128089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201362112).

128089680 is an abundant number, since it is smaller than the sum of its proper divisors (274634544).

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

128089680 is a wasteful number, since it uses less digits than its factorization.

128089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 128089680 is about 11317.6711385338. The cubic root of 128089680 is about 504.0860901061.

The spelling of 128089680 in words is "one hundred twenty-eight million, eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 7517 8520 15034 17040 22551 30068 37585 45102 60136 75170 90204 112755 120272 150340 180408 225510 300680 360816 451020 533707 601360 902040 1067414 1601121 1804080 2134828 2668535 3202242 4269656 5337070 6404484 8005605 8539312 10674140 12808968 16011210 21348280 25617936 32022420 42696560 64044840 128089680