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1960275625 = 5472112232
BaseRepresentation
bin111010011010111…
…0110111010101001
312001121121022121221
41310311312322221
513003312310000
6522303302041
766402032200
oct16465667251
95047538557
101960275625
11916585100
124685aa921
13253179109
141484b8237
15b716761a
hex74d76ea9

1960275625 has 135 divisors (see below), whose sum is σ = 3274180833. Its totient is φ = 1168860000.

The previous prime is 1960275617. The next prime is 1960275679. The reversal of 1960275625 is 5265720691.

The square root of 1960275625 is 44275.

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

It can be written as a sum of positive squares in 2 ways, for example, as 153685609 + 1806590016 = 12397^2 + 42504^2 .

It is not a de Polignac number, because 1960275625 - 23 = 1960275617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 85229364 + ... + 85229386.

Almost surely, 21960275625 is an apocalyptic number.

1960275625 is the 44275-th square number.

1960275625 is the 22138-th centered octagonal number.

It is an amenable number.

1960275625 is a deficient number, since it is larger than the sum of its proper divisors (1313905208).

1960275625 is an equidigital number, since it uses as much as digits as its factorization.

1960275625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The cubic root of 1960275625 is about 1251.5236088051.

The spelling of 1960275625 in words is "one billion, nine hundred sixty million, two hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 7 11 23 25 35 49 55 77 115 121 125 161 175 245 253 275 385 529 539 575 605 625 805 847 875 1127 1225 1265 1375 1771 1925 2645 2695 2783 2875 3025 3703 4025 4235 4375 5635 5819 5929 6125 6325 6875 8855 9625 12397 13225 13475 13915 14375 15125 18515 19481 20125 21175 25921 28175 29095 29645 30625 31625 40733 44275 48125 61985 64009 66125 67375 69575 75625 92575 97405 100625 105875 129605 136367 140875 145475 148225 158125 203665 221375 285131 309925 320045 330625 336875 347875 448063 462875 487025 529375 648025 681835 704375 727375 741125 1018325 1106875 1425655 1549625 1600225 1739375 2240315 2314375 2435125 3136441 3240125 3409175 3636875 3705625 5091625 7128275 7748125 8001125 11201575 12175625 15682205 16200625 17045875 25458125 35641375 40005625 56007875 78411025 85229375 178206875 280039375 392055125 1960275625