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69840144 = 2435112371
BaseRepresentation
bin1000010100110…
…10110100010000
311212102020200000
410022122310100
5120334341034
610532530000
71505426403
oct412326420
9155366600
1069840144
1136471a30
121b480900
1311613b3a
1493bdd3a
1561e8599
hex429ad10

69840144 has 240 divisors, whose sum is σ = 233985024. Its totient is φ = 19958400.

The previous prime is 69840139. The next prime is 69840151. The reversal of 69840144 is 44104896.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 69840099 and 69840108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983629 + ... + 983699.

Almost surely, 269840144 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 69840144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

69840144 is an abundant number, since it is smaller than the sum of its proper divisors (164144880).

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

69840144 is a wasteful number, since it uses less digits than its factorization.

69840144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

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

The square root of 69840144 is about 8357.0415818039. The cubic root of 69840144 is about 411.8145707806.

The spelling of 69840144 in words is "sixty-nine million, eight hundred forty thousand, one hundred forty-four".