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90277020 = 22325539463
BaseRepresentation
bin1010110000110…
…00010010011100
320021212112210100
411120120102130
5141102331040
612542541100
72144225211
oct530302234
9207775710
1090277020
1146a60509
1226297790
131591b072
14bdbdb08
157dd3b30
hex561849c

90277020 has 72 divisors (see below), whose sum is σ = 279036576. Its totient is φ = 23617152.

The previous prime is 90277009. The next prime is 90277049. The reversal of 90277020 is 2077209.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4809 + ... + 14271.

It is an arithmetic number, because the mean of its divisors is an integer number (3875508).

Almost surely, 290277020 is an apocalyptic number.

90277020 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 90277020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139518288).

90277020 is an abundant number, since it is smaller than the sum of its proper divisors (188759556).

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

90277020 is a wasteful number, since it uses less digits than its factorization.

90277020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 90277020 is about 9501.4219988379. The cubic root of 90277020 is about 448.5997958410.

The spelling of 90277020 in words is "ninety million, two hundred seventy-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9463 9540 18926 28389 37852 47315 56778 85167 94630 113556 141945 170334 189260 283890 340668 425835 501539 567780 851670 1003078 1504617 1703340 2006156 2507695 3009234 4513851 5015390 6018468 7523085 9027702 10030780 15046170 18055404 22569255 30092340 45138510 90277020