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83990166 = 23131797653
BaseRepresentation
bin1010000000110…
…01011010010110
312212001010211220
411000121122112
5133000141131
612200111210
72036622201
oct500313226
9185033756
1083990166
1143457067
1224165506
1314529630
14b224938
157590e96
hex5019696

83990166 has 64 divisors (see below), whose sum is σ = 193814208. Its totient is φ = 24035328.

The previous prime is 83990161. The next prime is 83990171. The reversal of 83990166 is 66109938.

It is an interprime number because it is at equal distance from previous prime (83990161) and next prime (83990171).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83990161) by changing a digit.

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, 128296 + ... + 128948.

It is an arithmetic number, because the mean of its divisors is an integer number (3028347).

Almost surely, 283990166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83990166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96907104).

83990166 is an abundant number, since it is smaller than the sum of its proper divisors (109824042).

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

83990166 is a wasteful number, since it uses less digits than its factorization.

83990166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 83990166 is about 9164.6148855257. The cubic root of 83990166 is about 437.9348227697.

The spelling of 83990166 in words is "eighty-three million, nine hundred ninety thousand, one hundred sixty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 97 102 194 221 291 442 582 653 663 1261 1306 1326 1649 1959 2522 3298 3783 3918 4947 7566 8489 9894 11101 16978 21437 22202 25467 33303 42874 50934 63341 64311 66606 126682 128622 144313 190023 288626 380046 432939 823433 865878 1076797 1646866 2153594 2470299 3230391 4940598 6460782 13998361 27996722 41995083 83990166