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83500000 = 2556167
BaseRepresentation
bin1001111101000…
…01101111100000
312211010020110121
410332201233200
5132334000000
612141410024
72032511143
oct476415740
9184106417
1083500000
1143151871
1223b69914
13143b74ac
14b13805a
1574e5b1a
hex4fa1be0

83500000 has 84 divisors (see below), whose sum is σ = 206716104. Its totient is φ = 33200000.

The previous prime is 83499991. The next prime is 83500013. The reversal of 83500000 is 538.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499917 + ... + 500083.

It is an arithmetic number, because the mean of its divisors is an integer number (2460906).

Almost surely, 283500000 is an apocalyptic number.

83500000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103358052).

83500000 is an abundant number, since it is smaller than the sum of its proper divisors (123216104).

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

83500000 is an frugal number, since it uses more digits than its factorization.

83500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 83500000 is about 9137.8334412485. The cubic root of 83500000 is about 437.0812319428.

Adding to 83500000 its reverse (538), we get a palindrome (83500538).

The spelling of 83500000 in words is "eighty-three million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 167 200 250 334 400 500 625 668 800 835 1000 1250 1336 1670 2000 2500 2672 3125 3340 4000 4175 5000 5344 6250 6680 8350 10000 12500 13360 15625 16700 20000 20875 25000 26720 31250 33400 41750 50000 62500 66800 83500 100000 104375 125000 133600 167000 208750 250000 334000 417500 500000 521875 668000 835000 1043750 1670000 2087500 2609375 3340000 4175000 5218750 8350000 10437500 16700000 20875000 41750000 83500000