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90327720 = 23357191563
BaseRepresentation
bin1010110001001…
…00101010101000
320021222010100010
411120210222220
5141110441340
612544011520
72144526060
oct530445250
9207863303
1090327720
1146a9560a
1226300ba0
1315938172
14bdd43a0
157de3b80
hex5624aa8

90327720 has 128 divisors (see below), whose sum is σ = 311869440. Its totient is φ = 20501760.

The previous prime is 90327719. The next prime is 90327733. The reversal of 90327720 is 2772309.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160159 + ... + 160721.

It is an arithmetic number, because the mean of its divisors is an integer number (2436480).

Almost surely, 290327720 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 90327720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155934720).

90327720 is an abundant number, since it is smaller than the sum of its proper divisors (221541720).

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

90327720 is a wasteful number, since it uses less digits than its factorization.

90327720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 90327720 is about 9504.0896460419. The cubic root of 90327720 is about 448.6837587117.

The spelling of 90327720 in words is "ninety million, three hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 191 210 280 382 420 563 573 764 840 955 1126 1146 1337 1528 1689 1910 2252 2292 2674 2815 2865 3378 3820 3941 4011 4504 4584 5348 5630 5730 6685 6756 7640 7882 8022 8445 10696 11260 11460 11823 13370 13512 15764 16044 16890 19705 20055 22520 22920 23646 26740 31528 32088 33780 39410 40110 47292 53480 59115 67560 78820 80220 94584 107533 118230 157640 160440 215066 236460 322599 430132 472920 537665 645198 752731 860264 1075330 1290396 1505462 1612995 2150660 2258193 2580792 3010924 3225990 3763655 4301320 4516386 6021848 6451980 7527310 9032772 11290965 12903960 15054620 18065544 22581930 30109240 45163860 90327720