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90031326 = 2373114197
BaseRepresentation
bin1010101110111…
…00010011011110
320021102001202120
411113130103132
5141022000301
612533403410
72142153000
oct527342336
9207361676
1090031326
1146902960
1226199566
1315863298
14bd58370
157d85e36
hex55dc4de

90031326 has 128 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 22579200.

The previous prime is 90031321. The next prime is 90031343. The reversal of 90031326 is 62313009.

It is a super-2 number, since 2×900313262 = 16211279322636552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90031296 and 90031305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90031321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928110 + ... + 928206.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 290031326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90031326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

90031326 is an abundant number, since it is smaller than the sum of its proper divisors (147050274).

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

90031326 is a wasteful number, since it uses less digits than its factorization.

90031326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 90031326 is about 9488.4838620298. The cubic root of 90031326 is about 448.1924628781.

The spelling of 90031326 in words is "ninety million, thirty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 49 66 77 82 97 98 123 147 154 194 231 246 287 291 294 343 451 462 539 574 582 679 686 861 902 1029 1067 1078 1353 1358 1617 1722 2009 2037 2058 2134 2706 3157 3201 3234 3773 3977 4018 4074 4753 6027 6314 6402 7469 7546 7954 9471 9506 11319 11931 12054 14063 14259 14938 18942 22099 22407 22638 23862 27839 28126 28518 33271 42189 43747 44198 44814 52283 55678 66297 66542 83517 84378 87494 99813 104566 131241 132594 154693 156849 167034 194873 199626 262482 306229 309386 313698 365981 389746 464079 584619 612458 731962 918687 928158 1097943 1169238 1364111 1837374 2143603 2195886 2728222 4092333 4287206 6430809 8184666 12861618 15005221 30010442 45015663 90031326