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69688080 = 24335711419
BaseRepresentation
bin1000010011101…
…01101100010000
311212010112002000
410021311230100
5120320004310
610525354000
71504224150
oct411655420
9155115060
1069688080
1136378760
121b408900
131158c867
149380760
1561b84c0
hex4275b10

69688080 has 320 divisors, whose sum is σ = 299980800. Its totient is φ = 14446080.

The previous prime is 69688051. The next prime is 69688097. The reversal of 69688080 is 8088696.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166111 + ... + 166529.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 269688080 is an apocalyptic number.

69688080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

69688080 is the 5280-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

69688080 is an abundant number, since it is smaller than the sum of its proper divisors (230292720).

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

69688080 is a wasteful number, since it uses less digits than its factorization.

69688080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 69688080 is about 8347.9386677191. The cubic root of 69688080 is about 411.5154702359.

The spelling of 69688080 in words is "sixty-nine million, six hundred eighty-eight thousand, eighty".