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1720424484 = 22323122232
BaseRepresentation
bin110011010001011…
…1001100000100100
311102220021121201100
41212202321200210
512010412040414
6442414400100
760430236552
oct14642714044
94386247640
101720424484
11803153419
12400200030
1321557ac6c
141246c0bd2
15a108a609
hex668b9824

1720424484 has 81 divisors (see below), whose sum is σ = 4513902939. Its totient is φ = 552486960.

The previous prime is 1720424479. The next prime is 1720424513. The reversal of 1720424484 is 4844240271.

The square root of 1720424484 is 41478.

It is a perfect power (a square), and thus also a powerful number.

1720424484 is a `hidden beast` number, since 1 + 7 + 204 + 2 + 448 + 4 = 666.

It is a super-5 number, since 5×17204244845 (a number of 47 digits) contains 55555 as substring.

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

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 26 ways as a sum of consecutive naturals, for example, 7714797 + ... + 7715019.

Almost surely, 21720424484 is an apocalyptic number.

1720424484 is the 41478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1720424484

1720424484 is an abundant number, since it is smaller than the sum of its proper divisors (2793478455).

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

1720424484 is a wasteful number, since it uses less digits than its factorization.

1720424484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The cubic root of 1720424484 is about 1198.2438395040.

Multiplying 1720424484 by its sum of digits (36), we get a square (61935281424 = 2488682).

1720424484 divided by its sum of digits (36) gives a square (47789569 = 69132).

The spelling of 1720424484 in words is "one billion, seven hundred twenty million, four hundred twenty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 223 279 372 446 558 669 892 961 1116 1338 1922 2007 2676 2883 3844 4014 5766 6913 8028 8649 11532 13826 17298 20739 27652 34596 41478 49729 62217 82956 99458 124434 149187 198916 214303 248868 298374 428606 447561 596748 642909 857212 895122 1285818 1541599 1790244 1928727 2571636 3083198 3857454 4624797 6166396 7714908 9249594 13874391 18499188 27748782 47789569 55497564 95579138 143368707 191158276 286737414 430106121 573474828 860212242 1720424484