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64725640 = 2357271853
BaseRepresentation
bin1111011011101…
…0001010001000
311111210101212221
43312322022020
5113032210030
610231143424
71414105330
oct366721210
9144711787
1064725640
1133599371
1219814b74
1310542bc5
14884c0c0
155a37e7a
hex3dba288

64725640 has 64 divisors (see below), whose sum is σ = 167247360. Its totient is φ = 22083840.

The previous prime is 64725607. The next prime is 64725643. The reversal of 64725640 is 4652746.

64725640 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 = 64725596 and 64725605.

It is not an unprimeable number, because it can be changed into a prime (64725643) 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, 75454 + ... + 76306.

It is an arithmetic number, because the mean of its divisors is an integer number (2613240).

Almost surely, 264725640 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 64725640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83623680).

64725640 is an abundant number, since it is smaller than the sum of its proper divisors (102521720).

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

64725640 is a wasteful number, since it uses less digits than its factorization.

64725640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 64725640 is about 8045.2246705732. The cubic root of 64725640 is about 401.5060722490.

The spelling of 64725640 in words is "sixty-four million, seven hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 271 280 542 853 1084 1355 1706 1897 2168 2710 3412 3794 4265 5420 5971 6824 7588 8530 9485 10840 11942 15176 17060 18970 23884 29855 34120 37940 47768 59710 75880 119420 231163 238840 462326 924652 1155815 1618141 1849304 2311630 3236282 4623260 6472564 8090705 9246520 12945128 16181410 32362820 64725640