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69068144 = 2417271937
BaseRepresentation
bin1000001110111…
…10010101110000
311210222000200102
410013132111300
5120140140034
610504211532
71466032565
oct407362560
9153860612
1069068144
1135a94a12
121b169ba8
1311403632
14925c86c
1560e497e
hex41de570

69068144 has 40 divisors (see below), whose sum is σ = 142365888. Its totient is φ = 32348160.

The previous prime is 69068141. The next prime is 69068189. The reversal of 69068144 is 44186096.

It is a junction number, because it is equal to n+sod(n) for n = 69068098 and 69068107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69068141) 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 7 ways as a sum of consecutive naturals, for example, 73244 + ... + 74180.

Almost surely, 269068144 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 69068144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71182944).

69068144 is an abundant number, since it is smaller than the sum of its proper divisors (73297744).

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

69068144 is a wasteful number, since it uses less digits than its factorization.

69068144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 69068144 is about 8310.7246374790. The cubic root of 69068144 is about 410.2915713032.

The spelling of 69068144 in words is "sixty-nine million, sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 271 272 542 937 1084 1874 2168 3748 4336 4607 7496 9214 14992 15929 18428 31858 36856 63716 73712 127432 253927 254864 507854 1015708 2031416 4062832 4316759 8633518 17267036 34534072 69068144