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960117025 = 5273197183
BaseRepresentation
bin111001001110100…
…011100100100001
32110220121222221211
4321032203210201
53431242221100
6235134350121
732535601000
oct7116434441
92426558854
10960117025
11452a6314a
1222965b341
13123bb49aa
1491728c37
15594541ba
hex393a3921

960117025 has 96 divisors (see below), whose sum is σ = 1499904000. Its totient is φ = 607521600.

The previous prime is 960116999. The next prime is 960117031. The reversal of 960117025 is 520711069.

It is not a de Polignac number, because 960117025 - 219 = 959592737 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11567634 + ... + 11567716.

It is an arithmetic number, because the mean of its divisors is an integer number (15624000).

Almost surely, 2960117025 is an apocalyptic number.

960117025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

960117025 is a deficient number, since it is larger than the sum of its proper divisors (539786975).

960117025 is a wasteful number, since it uses less digits than its factorization.

960117025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 960117025 is about 30985.7551949279. The cubic root of 960117025 is about 986.5249126130.

The spelling of 960117025 in words is "nine hundred sixty million, one hundred seventeen thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 71 83 95 133 175 245 343 355 415 475 497 581 665 931 1225 1349 1577 1715 1775 2075 2485 2905 3325 3479 4067 4655 5893 6517 6745 7885 8575 9443 11039 12425 14525 17395 20335 23275 24353 28469 29465 32585 33725 39425 41251 47215 55195 66101 77273 86975 101675 111967 121765 142345 147325 162925 206255 236075 275975 288757 330505 386365 462707 540911 559835 608825 711725 783769 1031275 1443785 1652525 1931825 2021299 2313535 2704555 2799175 3918845 5486383 7218925 10106495 11567675 13522775 19594225 27431915 38404681 50532475 137159575 192023405 960117025