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128276096 = 2713127607
BaseRepresentation
bin1111010010101…
…01011010000000
322221101002201112
413221111122000
5230314313341
620421222452
73115220534
oct751253200
9287332645
10128276096
1166454803
1236b61a28
1320763c20
1413071bc4
15b3dcaeb
hex7a55680

128276096 has 64 divisors (see below), whose sum is σ = 277831680. Its totient is φ = 58641408.

The previous prime is 128276081. The next prime is 128276119. The reversal of 128276096 is 690672821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211025 + ... + 211631.

It is an arithmetic number, because the mean of its divisors is an integer number (4341120).

Almost surely, 2128276096 is an apocalyptic number.

128276096 is a gapful number since it is divisible by the number (16) 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 128276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138915840).

128276096 is an abundant number, since it is smaller than the sum of its proper divisors (149555584).

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

128276096 is a wasteful number, since it uses less digits than its factorization.

128276096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 128276096 is about 11325.9037608484. The cubic root of 128276096 is about 504.3305130316.

The spelling of 128276096 in words is "one hundred twenty-eight million, two hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 416 508 607 832 1016 1214 1651 1664 2032 2428 3302 4064 4856 6604 7891 8128 9712 13208 15782 16256 19424 26416 31564 38848 52832 63128 77089 77696 105664 126256 154178 211328 252512 308356 505024 616712 1002157 1010048 1233424 2004314 2466848 4008628 4933696 8017256 9867392 16034512 32069024 64138048 128276096