Search a number
-
+
83933980 = 22513536091
BaseRepresentation
bin1010000000010…
…11101100011100
312211221021202221
411000023230130
5132441341410
612154555124
72036266324
oct500135434
9184837687
1083933980
1143418929
1224138aa4
1314509ba0
14b20c284
15757e4da
hex500bb1c

83933980 has 48 divisors (see below), whose sum is σ = 193433184. Its totient is φ = 30401280.

The previous prime is 83933977. The next prime is 83933989. The reversal of 83933980 is 8933938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83933989) 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 15 ways as a sum of consecutive naturals, for example, 10735 + ... + 16825.

It is an arithmetic number, because the mean of its divisors is an integer number (4029858).

Almost surely, 283933980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83933980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96716592).

83933980 is an abundant number, since it is smaller than the sum of its proper divisors (109499204).

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

83933980 is a wasteful number, since it uses less digits than its factorization.

83933980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 83933980 is about 9161.5489956666. The cubic root of 83933980 is about 437.8371474667.

The spelling of 83933980 in words is "eighty-three million, nine hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6091 6890 12182 13780 24364 30455 60910 79183 121820 158366 316732 322823 395915 645646 791830 1291292 1583660 1614115 3228230 4196699 6456460 8393398 16786796 20983495 41966990 83933980