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83368620 = 223252915971
BaseRepresentation
bin1001111100000…
…01101010101100
312210212120020200
410332001222230
5132320243440
612134513500
72031423126
oct476015254
9183776220
1083368620
1143072095
1223b05890
131436c75a
14b102216
1574bbc30
hex4f81aac

83368620 has 72 divisors (see below), whose sum is σ = 261621360. Its totient is φ = 21463680.

The previous prime is 83368619. The next prime is 83368631. The reversal of 83368620 is 2686338.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2766 + ... + 13205.

It is an arithmetic number, because the mean of its divisors is an integer number (3633630).

Almost surely, 283368620 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 83368620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130810680).

83368620 is an abundant number, since it is smaller than the sum of its proper divisors (178252740).

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

83368620 is a wasteful number, since it uses less digits than its factorization.

83368620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16015 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 83368620 is about 9130.6418175285. The cubic root of 83368620 is about 436.8518751536.

The spelling of 83368620 in words is "eighty-three million, three hundred sixty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 15971 31942 47913 63884 79855 95826 143739 159710 191652 239565 287478 319420 463159 479130 574956 718695 926318 958260 1389477 1437390 1852636 2315795 2778954 2874780 4168431 4631590 5557908 6947385 8336862 9263180 13894770 16673724 20842155 27789540 41684310 83368620