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128452716 = 2236722931
BaseRepresentation
bin1111010100000…
…00100001101100
322221201002000000
413222000201230
5230340441331
620425104300
73116554500
oct752004154
9287632000
10128452716
1166565477
1237028090
13207c6432
14130ba300
15b4250e6
hex7a8086c

128452716 has 252 divisors, whose sum is σ = 418662720. Its totient is φ = 34292160.

The previous prime is 128452699. The next prime is 128452729. The reversal of 128452716 is 617254821.

128452716 is a `hidden beast` number, since 128 + 4 + 527 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (26880) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4143621 + ... + 4143651.

It is an arithmetic number, because the mean of its divisors is an integer number (1661360).

Almost surely, 2128452716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128452716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209331360).

128452716 is an abundant number, since it is smaller than the sum of its proper divisors (290210004).

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

128452716 is a wasteful number, since it uses less digits than its factorization.

128452716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 128452716 is about 11333.6982490271. The cubic root of 128452716 is about 504.5618733750.

The spelling of 128452716 in words is "one hundred twenty-eight million, four hundred fifty-two thousand, seven hundred sixteen".