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90067866 = 23719591913
BaseRepresentation
bin1010101111001…
…01001110011010
320021110220212220
411113211032122
5141024132431
612534244510
72142364350
oct527451632
9207426786
1090067866
1146928359
12261b6736
1315876ac5
14bd677d0
157d91b96
hex55e539a

90067866 has 64 divisors (see below), whose sum is σ = 220492800. Its totient is φ = 23953536.

The previous prime is 90067849. The next prime is 90067877. The reversal of 90067866 is 66876009.

It is a happy number.

It is a super-2 number, since 2×900678662 = 16224440971587912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46126 + ... + 48038.

It is an arithmetic number, because the mean of its divisors is an integer number (3445200).

Almost surely, 290067866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90067866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110246400).

90067866 is an abundant number, since it is smaller than the sum of its proper divisors (130424934).

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

90067866 is a wasteful number, since it uses less digits than its factorization.

90067866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 90067866 is about 9490.4091587244. The cubic root of 90067866 is about 448.2530889522.

The spelling of 90067866 in words is "ninety million, sixty-seven thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 266 354 399 413 798 826 1121 1239 1913 2242 2478 3363 3826 5739 6726 7847 11478 13391 15694 23541 26782 36347 40173 47082 72694 80346 109041 112867 218082 225734 254429 338601 508858 677202 763287 790069 1526574 1580138 2144473 2370207 4288946 4740414 6433419 12866838 15011311 30022622 45033933 90067866