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83096120 = 23519313527
BaseRepresentation
bin1001111001111…
…11001000111000
312210100201110002
410330333020320
5132233033440
612125012132
72026206512
oct474771070
9183321402
1083096120
11429a6388
12239b4048
13142a5703
14b070bb2
157466115
hex4f3f238

83096120 has 64 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 30464640.

The previous prime is 83096059. The next prime is 83096149. The reversal of 83096120 is 2169038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21797 + ... + 25323.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 283096120 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 83096120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

83096120 is an abundant number, since it is smaller than the sum of its proper divisors (120116680).

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

83096120 is a wasteful number, since it uses less digits than its factorization.

83096120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 83096120 is about 9115.7073230770. The cubic root of 83096120 is about 436.3753886250.

The spelling of 83096120 in words is "eighty-three million, ninety-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 3527 4712 5890 7054 11780 14108 17635 23560 28216 35270 67013 70540 109337 134026 141080 218674 268052 335065 437348 536104 546685 670130 874696 1093370 1340260 2077403 2186740 2680520 4154806 4373480 8309612 10387015 16619224 20774030 41548060 83096120