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1720842912 = 253229320393
BaseRepresentation
bin110011010010001…
…1111101010100000
311102221001212200200
41212210133222200
512011013433122
6442431345200
760433631505
oct14644375240
94387055620
101720842912
11803409828
12400382200
13215696559
1412478d4ac
15a111e5ac
hex6691faa0

1720842912 has 72 divisors (see below), whose sum is σ = 4910589684. Its totient is φ = 571628544.

The previous prime is 1720842899. The next prime is 1720842947. The reversal of 1720842912 is 2192480271.

1720842912 is a `hidden beast` number, since 17 + 208 + 429 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1574819856 + 146023056 = 39684^2 + 12084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×17208429122 = 5922600655561279488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74188 + ... + 94580.

Almost surely, 21720842912 is an apocalyptic number.

1720842912 is a gapful number since it is divisible by the number (12) 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 1720842912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455294842).

1720842912 is an abundant number, since it is smaller than the sum of its proper divisors (3189746772).

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

1720842912 is a wasteful number, since it uses less digits than its factorization.

1720842912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20702 (or 20691 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1720842912 is about 41483.0436684677. The cubic root of 1720842912 is about 1198.3409740845.

The spelling of 1720842912 in words is "one billion, seven hundred twenty million, eight hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 20393 21096 28128 40786 42192 61179 81572 84384 122358 163144 183537 244716 326288 367074 489432 652576 734148 978864 1468296 1957728 2936592 5873184 5975149 11950298 17925447 23900596 35850894 47801192 53776341 71701788 95602384 107552682 143403576 191204768 215105364 286807152 430210728 573614304 860421456 1720842912