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90355590 = 232513292663
BaseRepresentation
bin1010110001010…
…11011110000110
320022000112120100
411120223132012
5141112334330
612544344530
72145003243
oct530533606
9208015510
1090355590
1147004546
1226315146
1315947a60
14c0005ca
157dec060
hex562b786

90355590 has 96 divisors (see below), whose sum is σ = 261817920. Its totient is φ = 21466368.

The previous prime is 90355589. The next prime is 90355631. The reversal of 90355590 is 9555309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32599 + ... + 35261.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 290355590 is an apocalyptic number.

90355590 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 90355590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130908960).

90355590 is an abundant number, since it is smaller than the sum of its proper divisors (171462330).

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

90355590 is a wasteful number, since it uses less digits than its factorization.

90355590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 36.

The square root of 90355590 is about 9505.5557438795. Note that the first 3 decimals coincide. The cubic root of 90355590 is about 448.7299000678.

The spelling of 90355590 in words is "ninety million, three hundred fifty-five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2262 2610 2663 3393 3770 5326 5655 6786 7989 11310 13315 15978 16965 23967 26630 33930 34619 39945 47934 69238 77227 79890 103857 119835 154454 173095 207714 231681 239670 311571 346190 386135 463362 519285 623142 695043 772270 1003951 1038570 1158405 1390086 1557855 2007902 2316810 3011853 3115710 3475215 5019755 6023706 6950430 9035559 10039510 15059265 18071118 30118530 45177795 90355590