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69820992 = 2632432819
BaseRepresentation
bin1000010100101…
…10001001000000
311212101021101200
410022112021000
5120333232432
610532301200
71505316513
oct412261100
9155337350
1069820992
11364595aa
121b471800
13116081c7
1493b6d7a
1561e2a7c
hex4296240

69820992 has 84 divisors (see below), whose sum is σ = 204856080. Its totient is φ = 22724352.

The previous prime is 69820987. The next prime is 69820999. The reversal of 69820992 is 29902896.

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 (69820999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23359 + ... + 26177.

Almost surely, 269820992 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 69820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102428040).

69820992 is an abundant number, since it is smaller than the sum of its proper divisors (135035088).

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

69820992 is a wasteful number, since it uses less digits than its factorization.

69820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 69820992 is about 8355.8956431971. The cubic root of 69820992 is about 411.7769238856.

The spelling of 69820992 in words is "sixty-nine million, eight hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 2819 3096 4128 5638 6192 8256 8457 11276 12384 16914 22552 24768 25371 33828 45104 50742 67656 90208 101484 121217 135312 180416 202968 242434 270624 363651 405936 484868 541248 727302 811872 969736 1090953 1454604 1623744 1939472 2181906 2909208 3878944 4363812 5818416 7757888 8727624 11636832 17455248 23273664 34910496 69820992