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90683280 = 2433541983
BaseRepresentation
bin1010110011110…
…11011110010000
320022122012002000
411121323132100
5141203331110
612555354000
72150536512
oct531733620
9208565060
1090683280
1147208766
1226452900
1315a30c5c
14c087bb2
157e641c0
hex567b790

90683280 has 80 divisors (see below), whose sum is σ = 312360960. Its totient is φ = 24181632.

The previous prime is 90683279. The next prime is 90683297. The reversal of 90683280 is 8238609.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18832 + ... + 23151.

It is an arithmetic number, because the mean of its divisors is an integer number (3904512).

Almost surely, 290683280 is an apocalyptic number.

90683280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90683280 is an abundant number, since it is smaller than the sum of its proper divisors (221677680).

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

90683280 is a wasteful number, since it uses less digits than its factorization.

90683280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42005 (or 41993 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90683280 is about 9522.7769059240. The cubic root of 90683280 is about 449.2717108468.

The spelling of 90683280 in words is "ninety million, six hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 41983 83966 125949 167932 209915 251898 335864 377847 419830 503796 629745 671728 755694 839660 1007592 1133541 1259490 1511388 1679320 1889235 2015184 2267082 2518980 3022776 3358640 3778470 4534164 5037960 5667705 6045552 7556940 9068328 10075920 11335410 15113880 18136656 22670820 30227760 45341640 90683280