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90009080 = 23572192417
BaseRepresentation
bin1010101110101…
…10110111111000
320021100221020122
411113112313320
5141020242310
612533112412
72142031100
oct527266770
9207327218
1090009080
1146898177
1226188708
1315856115
14bd50200
157d7e555
hex55d6df8

90009080 has 96 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 29223936.

The previous prime is 90009053. The next prime is 90009119. The reversal of 90009080 is 8090009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36032 + ... + 38448.

Almost surely, 290009080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90009080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

90009080 is an abundant number, since it is smaller than the sum of its proper divisors (158077720).

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

90009080 is a wasteful number, since it uses less digits than its factorization.

90009080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 90009080 is about 9487.3115264547. The cubic root of 90009080 is about 448.1555449471.

Adding to 90009080 its reverse (8090009), we get a palindrome (98099089).

The spelling of 90009080 in words is "ninety million, nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2417 2660 3724 4655 4834 5320 7448 9310 9668 12085 16919 18620 19336 24170 33838 37240 45923 48340 67676 84595 91846 96680 118433 135352 169190 183692 229615 236866 321461 338380 367384 459230 473732 592165 642922 676760 918460 947464 1184330 1285844 1607305 1836920 2250227 2368660 2571688 3214610 4500454 4737320 6429220 9000908 11251135 12858440 18001816 22502270 45004540 90009080