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90106480 = 2452938839
BaseRepresentation
bin1010101111011…
…10101001110000
320021112212212001
411113232221300
5141031401410
612535143344
72142615052
oct527565160
9207485761
1090106480
1146954372
1226214b54
131588b559
14bd778d2
157d9d33a
hex55eea70

90106480 has 40 divisors (see below), whose sum is σ = 216727200. Its totient is φ = 34798848.

The previous prime is 90106469. The next prime is 90106517. The reversal of 90106480 is 8460109.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17100 + ... + 21739.

It is an arithmetic number, because the mean of its divisors is an integer number (5418180).

Almost surely, 290106480 is an apocalyptic number.

It is an amenable number.

90106480 is an abundant number, since it is smaller than the sum of its proper divisors (126620720).

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

90106480 is a wasteful number, since it uses less digits than its factorization.

90106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38881 (or 38875 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90106480 is about 9492.4433103390. The cubic root of 90106480 is about 448.3171383281.

Adding to 90106480 its reverse (8460109), we get a palindrome (98566589).

The spelling of 90106480 in words is "ninety million, one hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 38839 77678 155356 194195 310712 388390 621424 776780 1126331 1553560 2252662 3107120 4505324 5631655 9010648 11263310 18021296 22526620 45053240 90106480