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90102330 = 23259710321
BaseRepresentation
bin1010101111011…
…01101000111010
320021112200011100
411113231220322
5141031233310
612535112230
72142600003
oct527555072
9207480140
1090102330
114695123a
1226212676
13158896b6
14bd761aa
157d9bec0
hex55eda3a

90102330 has 48 divisors (see below), whose sum is σ = 236704104. Its totient is φ = 23777280.

The previous prime is 90102317. The next prime is 90102349. The reversal of 90102330 is 3320109.

It can be written as a sum of positive squares in 4 ways, for example, as 72437121 + 17665209 = 8511^2 + 4203^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3570 + ... + 13890.

Almost surely, 290102330 is an apocalyptic number.

90102330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118352052).

90102330 is an abundant number, since it is smaller than the sum of its proper divisors (146601774).

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

90102330 is a wasteful number, since it uses less digits than its factorization.

90102330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431 (or 10428 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 90102330 is about 9492.2247128900. The cubic root of 90102330 is about 448.3102555649.

Adding to 90102330 its reverse (3320109), we get a palindrome (93422439).

The spelling of 90102330 in words is "ninety million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 10321 20642 30963 51605 61926 92889 103210 154815 185778 309630 464445 928890 1001137 2002274 3003411 5005685 6006822 9010233 10011370 15017055 18020466 30034110 45051165 90102330