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83793930 = 23511318191
BaseRepresentation
bin1001111111010…
…01100000001010
312211200011122220
410333221200022
5132422401210
612151554510
72035144113
oct477514012
9184604586
1083793930
1143332690
122408ba36
131448b20c
14b1b320a
157552c70
hex4fe980a

83793930 has 64 divisors (see below), whose sum is σ = 226492416. Its totient is φ = 19656000.

The previous prime is 83793929. The next prime is 83793953. The reversal of 83793930 is 3939738.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6135 + ... + 14325.

It is an arithmetic number, because the mean of its divisors is an integer number (3538944).

Almost surely, 283793930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83793930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113246208).

83793930 is an abundant number, since it is smaller than the sum of its proper divisors (142698486).

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

83793930 is a wasteful number, since it uses less digits than its factorization.

83793930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 83793930 is about 9153.9024464979. The cubic root of 83793930 is about 437.5934907685.

The spelling of 83793930 in words is "eighty-three million, seven hundred ninety-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 8191 10230 16382 24573 40955 49146 81910 90101 122865 180202 245730 253921 270303 450505 507842 540606 761763 901010 1269605 1351515 1523526 2539210 2703030 2793131 3808815 5586262 7617630 8379393 13965655 16758786 27931310 41896965 83793930