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1720632080 = 245157136993
BaseRepresentation
bin110011010001110…
…1100001100010000
311102220200011111002
41212203230030100
512010440211310
6442423041132
760432063026
oct14643541420
94386604432
101720632080
11803285392
124002a01a8
132156215bb
14124736716
15a10cbda5
hex668ec310

1720632080 has 40 divisors (see below), whose sum is σ = 4025979672. Its totient is φ = 683864064.

The previous prime is 1720632049. The next prime is 1720632083. The reversal of 1720632080 is 802360271.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 363741184 + 1356890896 = 19072^2 + 36836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1720632083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55937 + ... + 81056.

Almost surely, 21720632080 is an apocalyptic number.

1720632080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1720632080 is an abundant number, since it is smaller than the sum of its proper divisors (2305347592).

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

1720632080 is a wasteful number, since it uses less digits than its factorization.

1720632080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137163 (or 137157 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1720632080 is about 41480.5024077578. The cubic root of 1720632080 is about 1198.2920331573.

Subtracting from 1720632080 its reverse (802360271), we obtain a square (918271809 = 303032).

The spelling of 1720632080 in words is "one billion, seven hundred twenty million, six hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 136993 273986 547972 684965 1095944 1369930 2191888 2739860 5479720 10959440 21507901 43015802 86031604 107539505 172063208 215079010 344126416 430158020 860316040 1720632080