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83084196 = 22313618731
BaseRepresentation
bin1001111001111…
…00001110100100
312210100010002110
410330330032210
5132232143241
612124441020
72026126656
oct474741644
9183303073
1083084196
1142998428
12239a9170
13142a0160
14b06a6d6
157462816
hex4f3c3a4

83084196 has 48 divisors (see below), whose sum is σ = 212222528. Its totient is φ = 25142400.

The previous prime is 83084191. The next prime is 83084201. The reversal of 83084196 is 69148038.

It is an interprime number because it is at equal distance from previous prime (83084191) and next prime (83084201).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (83084191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5151 + ... + 13881.

Almost surely, 283084196 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 83084196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106111264).

83084196 is an abundant number, since it is smaller than the sum of its proper divisors (129138332).

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

83084196 is a wasteful number, since it uses less digits than its factorization.

83084196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 83084196 is about 9115.0532636952. The cubic root of 83084196 is about 436.3545148504.

The spelling of 83084196 in words is "eighty-three million, eighty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 4758 8731 9516 17462 26193 34924 52386 104772 113503 227006 340509 454012 532591 681018 1065182 1362036 1597773 2130364 3195546 6391092 6923683 13847366 20771049 27694732 41542098 83084196