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90397125 = 3253713883
BaseRepresentation
bin1010110001101…
…01100111000101
320022002122112200
411120311213011
5141120202000
612545305113
72145235320
oct530654705
9208078480
1090397125
1147032775
1226335199
1315960930
14c0117b7
157e09500
hex56359c5

90397125 has 96 divisors (see below), whose sum is σ = 200788224. Its totient is φ = 38102400.

The previous prime is 90397103. The next prime is 90397127. The reversal of 90397125 is 52179309.

It is not a de Polignac number, because 90397125 - 29 = 90396613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90397125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90397127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101934 + ... + 102816.

It is an arithmetic number, because the mean of its divisors is an integer number (2091544).

Almost surely, 290397125 is an apocalyptic number.

It is an amenable number.

90397125 is an abundant number, since it is smaller than the sum of its proper divisors (110391099).

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

90397125 is a wasteful number, since it uses less digits than its factorization.

90397125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 90397125 is about 9507.7402678029. The cubic root of 90397125 is about 448.7986474885.

The spelling of 90397125 in words is "ninety million, three hundred ninety-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 125 175 195 225 273 315 325 375 455 525 585 819 875 883 975 1125 1365 1575 1625 2275 2625 2649 2925 4095 4415 4875 6181 6825 7875 7947 11375 11479 13245 14625 18543 20475 22075 30905 34125 34437 39735 55629 57395 66225 80353 92715 102375 103311 110375 154525 172185 198675 241059 278145 286975 331125 401765 463575 516555 723177 772625 860925 993375 1205295 1390725 1434875 2008825 2317875 2582775 3615885 4304625 6026475 6953625 10044125 12913875 18079425 30132375 90397125