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64198240 = 255478537
BaseRepresentation
bin1111010011100…
…1011001100000
311110210121102121
43310321121200
5112413320430
610211554024
71406450611
oct364713140
9143717377
1064198240
11332690a7
12195bb914
13103b9b32
148751c08
155981a7a
hex3d39660

64198240 has 48 divisors (see below), whose sum is σ = 154913472. Its totient is φ = 25129984.

The previous prime is 64198237. The next prime is 64198247. The reversal of 64198240 is 4289146.

64198240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64198196 and 64198205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64198247) 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 7 ways as a sum of consecutive naturals, for example, 3252 + ... + 11788.

It is an arithmetic number, because the mean of its divisors is an integer number (3227364).

Almost surely, 264198240 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 64198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77456736).

64198240 is an abundant number, since it is smaller than the sum of its proper divisors (90715232).

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

64198240 is a wasteful number, since it uses less digits than its factorization.

64198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8599 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 64198240 is about 8012.3804203245. The cubic root of 64198240 is about 400.4125743098.

The spelling of 64198240 in words is "sixty-four million, one hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 8537 17074 34148 42685 68296 85370 136592 170740 273184 341480 401239 682960 802478 1365920 1604956 2006195 3209912 4012390 6419824 8024780 12839648 16049560 32099120 64198240