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69255680 = 295132081
BaseRepresentation
bin1000010000011…
…00001000000000
311211022112221012
410020030020000
5120212140210
610512220052
71500443414
oct410141000
9154275835
1069255680
11361028aa
121b23a628
131146aac0
1492aad44
156130305
hex420c200

69255680 has 80 divisors (see below), whose sum is σ = 178910424. Its totient is φ = 25559040.

The previous prime is 69255677. The next prime is 69255701. The reversal of 69255680 is 8655296.

It can be written as a sum of positive squares in 4 ways, for example, as 39137536 + 30118144 = 6256^2 + 5488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32240 + ... + 34320.

Almost surely, 269255680 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 69255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89455212).

69255680 is an abundant number, since it is smaller than the sum of its proper divisors (109654744).

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

69255680 is a wasteful number, since it uses less digits than its factorization.

69255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 69255680 is about 8321.9997596732. Note that the first 3 decimals coincide. The cubic root of 69255680 is about 410.6625812453.

The spelling of 69255680 in words is "sixty-nine million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2081 2560 3328 4160 4162 6656 8320 8324 10405 16640 16648 20810 27053 33280 33296 41620 54106 66592 83240 108212 133184 135265 166480 216424 266368 270530 332960 432848 532736 541060 665920 865696 1065472 1082120 1331840 1731392 2164240 2663680 3462784 4328480 5327360 6925568 8656960 13851136 17313920 34627840 69255680