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69098064 = 24371712097
BaseRepresentation
bin1000001111001…
…01101001010000
311211000112201120
410013211221100
5120142114224
610505002240
71466216040
oct407455120
9154015646
1069098064
1136005442
121b183380
1311414139
149269720
1560ed779
hex41e5a50

69098064 has 80 divisors (see below), whose sum is σ = 216021888. Its totient is φ = 18579456.

The previous prime is 69098063. The next prime is 69098083. The reversal of 69098064 is 46089096.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69098063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 337 + ... + 11760.

Almost surely, 269098064 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 69098064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108010944).

69098064 is an abundant number, since it is smaller than the sum of its proper divisors (146923824).

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

69098064 is a wasteful number, since it uses less digits than its factorization.

69098064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12132 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 69098064 is about 8312.5245262796. The cubic root of 69098064 is about 410.3508082196.

The spelling of 69098064 in words is "sixty-nine million, ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 12097 24194 36291 48388 72582 84679 96776 145164 169358 193552 205649 254037 290328 338716 411298 508074 580656 616947 677432 822596 1016148 1233894 1354864 1439543 1645192 2032296 2467788 2879086 3290384 4064592 4318629 4935576 5758172 8637258 9871152 11516344 17274516 23032688 34549032 69098064