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66402240 = 26352632
BaseRepresentation
bin1111110101001…
…1011111000000
311121221120202020
43331103133000
5113444332430
610331121440
71434260352
oct375233700
9147846666
1066402240
1134533a93
121a2a3280
13109ac088
148b670d2
155c69b10
hex3f537c0

66402240 has 84 divisors (see below), whose sum is σ = 211631784. Its totient is φ = 17639936.

The previous prime is 66402239. The next prime is 66402251. The reversal of 66402240 is 4220466.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 66402240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252349 + ... + 252611.

It is an arithmetic number, because the mean of its divisors is an integer number (2519426).

Almost surely, 266402240 is an apocalyptic number.

66402240 is a gapful number since it is divisible by the number (60) 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 66402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105815892).

66402240 is an abundant number, since it is smaller than the sum of its proper divisors (145229544).

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

66402240 is an equidigital number, since it uses as much as digits as its factorization.

66402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66402240 is about 8148.7569604204. The cubic root of 66402240 is about 404.9433238782.

The spelling of 66402240 in words is "sixty-six million, four hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 263 320 480 526 789 960 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 8416 10520 12624 15780 16832 21040 25248 31560 42080 50496 63120 69169 84160 126240 138338 207507 252480 276676 345845 415014 553352 691690 830028 1037535 1106704 1383380 1660056 2075070 2213408 2766760 3320112 4150140 4426816 5533520 6640224 8300280 11067040 13280448 16600560 22134080 33201120 66402240