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9720974025 = 3452723132
BaseRepresentation
bin10010000110110101…
…00100101011001001
3221002110201122110000
421003122210223021
5124402032132100
64244334113213
7462615626100
oct110332445311
927073648400
109720974025
114139266734
121a7364b809
13bbbc54249
1468308d037
153bd643900
hex2436a4ac9

9720974025 has 135 divisors (see below), whose sum is σ = 21013593381. Its totient is φ = 4429676160.

The previous prime is 9720973991. The next prime is 9720974033. The reversal of 9720974025 is 5204790279.

The square root of 9720974025 is 98595.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5461062201 + 4259911824 = 73899^2 + 65268^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 9720974025 - 29 = 9720973513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31057269 + ... + 31057581.

Almost surely, 29720974025 is an apocalyptic number.

9720974025 is the 98595-th square number.

9720974025 is the 49298-th centered octagonal number.

It is an amenable number.

9720974025 is an abundant number, since it is smaller than the sum of its proper divisors (11292619356).

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

9720974025 is an equidigital number, since it uses as much as digits as its factorization.

9720974025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The cubic root of 9720974025 is about 2134.2072663830.

The spelling of 9720974025 in words is "nine billion, seven hundred twenty million, nine hundred seventy-four thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 313 315 405 441 525 567 675 735 939 945 1225 1323 1565 1575 2025 2191 2205 2817 2835 3675 3969 4695 4725 6573 6615 7825 8451 10955 11025 14085 14175 15337 19719 19845 23475 25353 32865 33075 42255 46011 54775 59157 70425 76685 97969 98595 99225 126765 138033 164325 177471 211275 230055 293907 295785 383425 414099 489845 492975 633825 685783 690165 881721 887355 1150275 1242297 1469535 1478925 2057349 2070495 2449225 2645163 3428915 3450825 4408605 4436775 4800481 6172047 6211485 7347675 7935489 10286745 10352475 13225815 14401443 17144575 18516141 22043025 24002405 30860235 31057425 39677445 43204329 51433725 55548423 66129075 72007215 92580705 120012025 129612987 154301175 198387225 216021645 277742115 360036075 388838961 462903525 648064935 1080108225 1388710575 1944194805 3240324675 9720974025