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90066780 = 223253116141
BaseRepresentation
bin1010101111001…
…00111101011100
320021110212101200
411113210331130
5141024114110
612534235500
72142361236
oct527447534
9207425350
1090066780
1146927561
12261b5b90
131587646b
14bd67256
157d916c0
hex55e4f5c

90066780 has 72 divisors (see below), whose sum is σ = 282033024. Its totient is φ = 23241600.

The previous prime is 90066751. The next prime is 90066787. The reversal of 90066780 is 8766009.

It is a super-2 number, since 2×900667802 = 16224049719136800, which contains 22 as substring.

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 (90066787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 13650.

Almost surely, 290066780 is an apocalyptic number.

90066780 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 90066780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141016512).

90066780 is an abundant number, since it is smaller than the sum of its proper divisors (191966244).

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

90066780 is a wasteful number, since it uses less digits than its factorization.

90066780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16187 (or 16182 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90066780 is about 9490.3519428944. The cubic root of 90066780 is about 448.2512873300.

The spelling of 90066780 in words is "ninety million, sixty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 16141 32282 48423 64564 80705 96846 145269 161410 193692 242115 290538 322820 484230 500371 581076 726345 968460 1000742 1452690 1501113 2001484 2501855 2905380 3002226 4503339 5003710 6004452 7505565 9006678 10007420 15011130 18013356 22516695 30022260 45033390 90066780