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128673792 = 2113313179
BaseRepresentation
bin1111010101101…
…10100000000000
322222010022021000
413222312200000
5230420030132
620433532000
73121465152
oct752664000
9288108230
10128673792
11666a6585
1237114000
1320872c50
1413136ad2
15b46a87c
hex7ab6800

128673792 has 192 divisors, whose sum is σ = 412776000. Its totient is φ = 39370752.

The previous prime is 128673791. The next prime is 128673793. The reversal of 128673792 is 297376821.

It is an interprime number because it is at equal distance from previous prime (128673791) and next prime (128673793).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (128673791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 718759 + ... + 718937.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2128673792 is an apocalyptic number.

128673792 is a gapful number since it is divisible by the number (12) 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 128673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

128673792 is an abundant number, since it is smaller than the sum of its proper divisors (284102208).

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

128673792 is a wasteful number, since it uses less digits than its factorization.

128673792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 128673792 is about 11343.4470951294. The cubic root of 128673792 is about 504.8511694216.

It can be divided in two parts, 1286 and 73792, that added together give a triangular number (75078 = T387).

The spelling of 128673792 in words is "one hundred twenty-eight million, six hundred seventy-three thousand, seven hundred ninety-two".