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90486360 = 233251913229
BaseRepresentation
bin1010110010010…
…11011001011000
320022021011221200
411121023121120
5141131030420
612551234200
72146056426
oct531133130
9208234850
1090486360
1147093818
1226378960
1315992433
14c036116
157e25b90
hex564b658

90486360 has 96 divisors (see below), whose sum is σ = 309582000. Its totient is φ = 22857984.

The previous prime is 90486343. The next prime is 90486367. The reversal of 90486360 is 6368409.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90486367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226 + ... + 13454.

Almost surely, 290486360 is an apocalyptic number.

90486360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90486360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791000).

90486360 is an abundant number, since it is smaller than the sum of its proper divisors (219095640).

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

90486360 is a wasteful number, since it uses less digits than its factorization.

90486360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265 (or 13258 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90486360 is about 9512.4318657218. The cubic root of 90486360 is about 448.9462752537.

The spelling of 90486360 in words is "ninety million, four hundred eighty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 13229 26458 39687 52916 66145 79374 105832 119061 132290 158748 198435 238122 251351 264580 317496 396870 476244 502702 529160 595305 754053 793740 952488 1005404 1190610 1256755 1508106 1587480 2010808 2262159 2381220 2513510 3016212 3770265 4524318 4762440 5027020 6032424 7540530 9048636 10054040 11310795 15081060 18097272 22621590 30162120 45243180 90486360