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69880608 = 25327172039
BaseRepresentation
bin1000010101001…
…00101100100000
311212111022011200
410022210230200
5120342134413
610533441200
71505655360
oct412445440
9155438150
1069880608
113649a376
121b4a0200
1311629395
1493d09a0
156205573
hex42a4b20

69880608 has 144 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 18782208.

The previous prime is 69880583. The next prime is 69880609. The reversal of 69880608 is 80608896.

It is a tau number, because it is divible by the number of its divisors (144).

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 not an unprimeable number, because it can be changed into a prime (69880609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33253 + ... + 35291.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 269880608 is an apocalyptic number.

69880608 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69880608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

69880608 is an abundant number, since it is smaller than the sum of its proper divisors (170708832).

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

69880608 is a wasteful number, since it uses less digits than its factorization.

69880608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2068 counting only the distinct ones).

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

The square root of 69880608 is about 8359.4621836575. The cubic root of 69880608 is about 411.8940878352.

The spelling of 69880608 in words is "sixty-nine million, eight hundred eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2039 2142 2448 2856 3808 4078 4284 4896 5712 6117 8156 8568 11424 12234 14273 16312 17136 18351 24468 28546 32624 34272 34663 36702 42819 48936 57092 65248 69326 73404 85638 97872 103989 114184 128457 138652 146808 171276 195744 207978 228368 242641 256914 277304 293616 311967 342552 415956 456736 485282 513828 554608 587232 623934 685104 727923 831912 970564 1027656 1109216 1247868 1370208 1455846 1663824 1941128 2055312 2183769 2495736 2911692 3327648 3882256 4110624 4367538 4991472 5823384 7764512 8735076 9982944 11646768 17470152 23293536 34940304 69880608