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119493792 = 2535112127
BaseRepresentation
bin1110001111101…
…01010010100000
322022211220200000
413013311102200
5221042300132
615505100000
72650452255
oct707652240
9268756600
10119493792
11614a6500
1234027600
131b9aa6b2
1411c2742c
15a75587c
hex71f54a0

119493792 has 216 divisors, whose sum is σ = 390394368. Its totient is φ = 35925120.

The previous prime is 119493749. The next prime is 119493823. The reversal of 119493792 is 297394911.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940833 + ... + 940959.

Almost surely, 2119493792 is an apocalyptic number.

119493792 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 119493792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

119493792 is an abundant number, since it is smaller than the sum of its proper divisors (270900576).

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

119493792 is a wasteful number, since it uses less digits than its factorization.

119493792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 119493792 is about 10931.3216035391. The cubic root of 119493792 is about 492.5478727288.

The spelling of 119493792 in words is "one hundred nineteen million, four hundred ninety-three thousand, seven hundred ninety-two".