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90875106 = 2327341359
BaseRepresentation
bin1010110101010…
…10010011100010
320022222221012200
411122222103202
5141231000411
613003434030
72152266000
oct532522342
9208887180
1090875106
11473298a3
1226525916
1315a9a36a
14c0d7a70
157ea0e56
hex56aa4e2

90875106 has 96 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 25260480.

The previous prime is 90875089. The next prime is 90875131. The reversal of 90875106 is 60157809.

It is a super-2 number, since 2×908751062 = 16516569781022472, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 252955 + ... + 253313.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 290875106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90875106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

90875106 is an abundant number, since it is smaller than the sum of its proper divisors (144996894).

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

90875106 is a wasteful number, since it uses less digits than its factorization.

90875106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 90875106 is about 9532.8435421966. The cubic root of 90875106 is about 449.5882752617.

The spelling of 90875106 in words is "ninety million, eight hundred seventy-five thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 343 359 369 441 574 686 718 738 861 882 1029 1077 1722 2009 2058 2154 2513 2583 3087 3231 4018 5026 5166 6027 6174 6462 7539 12054 14063 14719 15078 17591 18081 22617 28126 29438 35182 36162 42189 44157 45234 52773 84378 88314 103033 105546 123137 126567 132471 158319 206066 246274 253134 264942 309099 316638 369411 618198 721231 738822 927297 1108233 1442462 1854594 2163693 2216466 4327386 5048617 6491079 10097234 12982158 15145851 30291702 45437553 90875106