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69139840 = 2757112361
BaseRepresentation
bin1000001111011…
…11110110000000
311211002200000211
410013233312000
5120144433330
610505523504
71466451610
oct407576600
9154080024
1069139840
1136033870
121b1a3594
131142a163
14927aa40
15610ad2a
hex41efd80

69139840 has 256 divisors, whose sum is σ = 218557440. Its totient is φ = 20275200.

The previous prime is 69139831. The next prime is 69139843. The reversal of 69139840 is 4893196.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 69139793 and 69139802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69139843) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1133410 + ... + 1133470.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 269139840 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 69139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

69139840 is an abundant number, since it is smaller than the sum of its proper divisors (149417600).

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

69139840 is a wasteful number, since it uses less digits than its factorization.

69139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 69139840 is about 8315.0369812768. The cubic root of 69139840 is about 410.4334895604.

The spelling of 69139840 in words is "sixty-nine million, one hundred thirty-nine thousand, eight hundred forty".