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69992064 = 273260757
BaseRepresentation
bin1000010101111…
…11111010000000
311212200222001200
410022333322000
5120404221224
610540101200
71506631332
oct412777200
9155628050
1069992064
113656608a
121b534800
131166802c
14941d452
1562285c9
hex42bfe80

69992064 has 48 divisors (see below), whose sum is σ = 201412770. Its totient is φ = 23330304.

The previous prime is 69992057. The next prime is 69992099. The reversal of 69992064 is 46029996.

It can be written as a sum of positive squares in only one way, i.e., 57881664 + 12110400 = 7608^2 + 3480^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 29227 + ... + 31530.

Almost surely, 269992064 is an apocalyptic number.

69992064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

69992064 is an abundant number, since it is smaller than the sum of its proper divisors (131420706).

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

69992064 is a wasteful number, since it uses less digits than its factorization.

69992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60777 (or 60762 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 69992064 is about 8366.1259851857. The cubic root of 69992064 is about 412.1129548588.

The spelling of 69992064 in words is "sixty-nine million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 60757 121514 182271 243028 364542 486056 546813 729084 972112 1093626 1458168 1944224 2187252 2916336 3888448 4374504 5832672 7776896 8749008 11665344 17498016 23330688 34996032 69992064