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90826020 = 223252831783
BaseRepresentation
bin1010110100111…
…10010100100100
320022220102212200
411122132110210
5141222413040
613002414500
72152002615
oct532362444
9208812780
1090826020
11472a5a2a
1226501430
1315a80c0c
14c0c3c0c
157e91630
hex569e524

90826020 has 72 divisors (see below), whose sum is σ = 276634176. Its totient is φ = 24121152.

The previous prime is 90826007. The next prime is 90826049. The reversal of 90826020 is 2062809.

90826020 is nontrivially palindromic in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50049 + ... + 51831.

Almost surely, 290826020 is an apocalyptic number.

90826020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90826020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138317088).

90826020 is an abundant number, since it is smaller than the sum of its proper divisors (185808156).

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

90826020 is a wasteful number, since it uses less digits than its factorization.

90826020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90826020 is about 9530.2686216077. The cubic root of 90826020 is about 449.5073126246.

Adding to 90826020 its reverse (2062809), we get a palindrome (92888829).

The spelling of 90826020 in words is "ninety million, eight hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 1132 1415 1698 1783 2547 2830 3396 3566 4245 5094 5349 5660 7132 8490 8915 10188 10698 12735 16047 16980 17830 21396 25470 26745 32094 35660 50940 53490 64188 80235 106980 160470 320940 504589 1009178 1513767 2018356 2522945 3027534 4541301 5045890 6055068 7568835 9082602 10091780 15137670 18165204 22706505 30275340 45413010 90826020