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40166000 = 2453719151
BaseRepresentation
bin1001100100111…
…0001001110000
32210120122101122
42121032021300
540240303000
63552521412
7665256020
oct231161160
983518348
1040166000
1120744346
1211550268
138424284
145497a80
1537d6085
hex264e270

40166000 has 160 divisors (see below), whose sum is σ = 117611520. Its totient is φ = 12960000.

The previous prime is 40165991. The next prime is 40166003. The reversal of 40166000 is 66104.

It is a super-3 number, since 3×401660003 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40166000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40166003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 265925 + ... + 266075.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 240166000 is an apocalyptic number.

40166000 is a gapful number since it is divisible by the number (40) 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 40166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58805760).

40166000 is an abundant number, since it is smaller than the sum of its proper divisors (77445520).

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

40166000 is a wasteful number, since it uses less digits than its factorization.

40166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 40166000 is about 6337.6651852240. The cubic root of 40166000 is about 342.4676297395.

The spelling of 40166000 in words is "forty million, one hundred sixty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 151 152 175 190 200 250 266 280 302 304 350 380 400 475 500 532 560 604 665 700 755 760 875 950 1000 1057 1064 1208 1330 1400 1510 1520 1750 1900 2000 2114 2128 2375 2416 2660 2800 2869 3020 3325 3500 3775 3800 4228 4750 5285 5320 5738 6040 6650 7000 7550 7600 8456 9500 10570 10640 11476 12080 13300 14000 14345 15100 16625 16912 18875 19000 20083 21140 22952 26425 26600 28690 30200 33250 37750 38000 40166 42280 45904 52850 53200 57380 60400 66500 71725 75500 80332 84560 100415 105700 114760 132125 133000 143450 151000 160664 200830 211400 229520 264250 266000 286900 302000 321328 358625 401660 422800 502075 528500 573800 717250 803320 1004150 1057000 1147600 1434500 1606640 2008300 2114000 2510375 2869000 4016600 5020750 5738000 8033200 10041500 20083000 40166000