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69424128 = 2103731
BaseRepresentation
bin1000010001101…
…01010000000000
311211122010000000
410020311100000
5120233033003
610520000000
71502044464
oct410652000
9154563000
1069424128
1136208414
121b300000
13114c9687
1493124a4
1561651a3
hex4235400

69424128 has 176 divisors, whose sum is σ = 214853120. Its totient is φ = 22394880.

The previous prime is 69424087. The next prime is 69424139. The reversal of 69424128 is 82142496.

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 and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 69424092 and 69424101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239473 + ... + 2239503.

Almost surely, 269424128 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 69424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107426560).

69424128 is an abundant number, since it is smaller than the sum of its proper divisors (145428992).

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

69424128 is an frugal number, since it uses more digits than its factorization.

69424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 69424128 is about 8332.1142574979. The cubic root of 69424128 is about 410.9952580837.

The spelling of 69424128 in words is "sixty-nine million, four hundred twenty-four thousand, one hundred twenty-eight".