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66523240 = 23571931231
BaseRepresentation
bin1111110111000…
…1000001101000
311122011201201201
43331301001220
5114012220430
610333453544
71435303210
oct375610150
9148151651
1066523240
1134606993
121a3412b4
1310a22184
148b99240
155c908ca
hex3f71068

66523240 has 64 divisors (see below), whose sum is σ = 172085760. Its totient is φ = 22671360.

The previous prime is 66523231. The next prime is 66523243. The reversal of 66523240 is 4232566.

It is a happy number.

66523240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 66523199 and 66523208.

It is not an unprimeable number, because it can be changed into a prime (66523243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53425 + ... + 54655.

It is an arithmetic number, because the mean of its divisors is an integer number (2688840).

Almost surely, 266523240 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 66523240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86042880).

66523240 is an abundant number, since it is smaller than the sum of its proper divisors (105562520).

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

66523240 is a wasteful number, since it uses less digits than its factorization.

66523240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 66523240 is about 8156.1780265024. The cubic root of 66523240 is about 405.1891409388.

The spelling of 66523240 in words is "sixty-six million, five hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 193 280 386 772 965 1231 1351 1544 1930 2462 2702 3860 4924 5404 6155 6755 7720 8617 9848 10808 12310 13510 17234 24620 27020 34468 43085 49240 54040 68936 86170 172340 237583 344680 475166 950332 1187915 1663081 1900664 2375830 3326162 4751660 6652324 8315405 9503320 13304648 16630810 33261620 66523240