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119428128 = 25331747173
BaseRepresentation
bin1110001111001…
…01010000100000
322022201120121000
413013211100200
5221033200003
615503432000
72650056651
oct707452040
9268646530
10119428128
1161461136
1233bb5600
131b986841
1411c0b528
15a7411a3
hex71e5420

119428128 has 192 divisors, whose sum is σ = 378846720. Its totient is φ = 36458496.

The previous prime is 119428123. The next prime is 119428147. The reversal of 119428128 is 821824911.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9216) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 119428092 and 119428101.

It is not an unprimeable number, because it can be changed into a prime (119428123) 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 31 ways as a sum of consecutive naturals, for example, 690250 + ... + 690422.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 2119428128 is an apocalyptic number.

119428128 is a gapful number since it is divisible by the number (18) 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 119428128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

119428128 is an abundant number, since it is smaller than the sum of its proper divisors (259418592).

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

119428128 is a wasteful number, since it uses less digits than its factorization.

119428128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 119428128 is about 10928.3177113406. The cubic root of 119428128 is about 492.4576348761.

The spelling of 119428128 in words is "one hundred nineteen million, four hundred twenty-eight thousand, one hundred twenty-eight".