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74009700 = 2234529137
BaseRepresentation
bin1000110100101…
…00110001100100
312011021002020000
410122110301210
5122421302300
611202141300
71556033502
oct432246144
9164232200
1074009700
113885a646
1220951830
131244392b
149b87672
15676dc00
hex4694c64

74009700 has 90 divisors (see below), whose sum is σ = 239936466. Its totient is φ = 19733760.

The previous prime is 74009651. The next prime is 74009707. The reversal of 74009700 is 790047.

It can be written as a sum of positive squares in 3 ways, for example, as 599076 + 73410624 = 774^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (74009707) 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 29 ways as a sum of consecutive naturals, for example, 3532 + ... + 12668.

Almost surely, 274009700 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 74009700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119968233).

74009700 is an abundant number, since it is smaller than the sum of its proper divisors (165926766).

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

74009700 is a wasteful number, since it uses less digits than its factorization.

74009700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 74009700 is about 8602.8890496158. The cubic root of 74009700 is about 419.8519886621.

Adding to 74009700 its reverse (790047), we get a palindrome (74799747).

The spelling of 74009700 in words is "seventy-four million, nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 9137 18274 27411 36548 45685 54822 82233 91370 109644 137055 164466 182740 228425 246699 274110 328932 411165 456850 493398 548220 685275 740097 822330 913700 986796 1233495 1370550 1480194 1644660 2055825 2466990 2741100 2960388 3700485 4111650 4933980 6167475 7400970 8223300 12334950 14801940 18502425 24669900 37004850 74009700