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71668200 = 23352119447
BaseRepresentation
bin1000100010110…
…01000111101000
311222212010021210
410101121013220
5121321340300
611040033120
71530112122
oct421310750
9158763253
1071668200
113750041a
12200027a0
1311b03c26
149738212
15645a050
hex44591e8

71668200 has 48 divisors (see below), whose sum is σ = 222173280. Its totient is φ = 19111360.

The previous prime is 71668189. The next prime is 71668231. The reversal of 71668200 is 286617.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59124 + ... + 60323.

It is an arithmetic number, because the mean of its divisors is an integer number (4628610).

Almost surely, 271668200 is an apocalyptic number.

It is an amenable number.

71668200 is an abundant number, since it is smaller than the sum of its proper divisors (150505080).

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

71668200 is a wasteful number, since it uses less digits than its factorization.

71668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119466 (or 119457 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 71668200 is about 8465.7072947274. The cubic root of 71668200 is about 415.3767324662.

The spelling of 71668200 in words is "seventy-one million, six hundred sixty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 119447 238894 358341 477788 597235 716682 955576 1194470 1433364 1791705 2388940 2866728 2986175 3583410 4777880 5972350 7166820 8958525 11944700 14333640 17917050 23889400 35834100 71668200