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90122025 = 35272137179
BaseRepresentation
bin1010101111100…
…10011100101001
320021120200011210
411113302130221
5141032401100
612535343333
72143011300
oct527623451
9207520153
1090122025
1146965014
1226221b49
1315895656
14bd7d437
157da2c50
hex55f2729

90122025 has 72 divisors (see below), whose sum is σ = 175569120. Its totient is φ = 40669440.

The previous prime is 90122017. The next prime is 90122029. The reversal of 90122025 is 52022109.

90122025 is a nontrivial binomial coefficient, being equal to C(13426, 2).

It is not a de Polignac number, because 90122025 - 23 = 90122017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 90121992 and 90122010.

It is not an unprimeable number, because it can be changed into a prime (90122029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503386 + ... + 503564.

It is an arithmetic number, because the mean of its divisors is an integer number (2438460).

Almost surely, 290122025 is an apocalyptic number.

90122025 is the 13425-th triangular number and also the 6713-rd hexagonal number.

It is an amenable number.

90122025 is a deficient number, since it is larger than the sum of its proper divisors (85447095).

90122025 is a wasteful number, since it uses less digits than its factorization.

90122025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 90122025 is about 9493.2620842364. The cubic root of 90122025 is about 448.3429177881.

The spelling of 90122025 in words is "ninety million, one hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 137 147 175 179 245 411 525 537 685 735 895 959 1225 1253 2055 2685 2877 3425 3675 3759 4475 4795 6265 6713 8771 10275 13425 14385 18795 20139 23975 24523 26313 31325 33565 43855 71925 73569 93975 100695 122615 131565 167825 171661 219275 367845 503475 514983 613075 657825 858305 1201627 1839225 2574915 3604881 4291525 6008135 12874575 18024405 30040675 90122025