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64681120 = 255757751
BaseRepresentation
bin1111011010111…
…1010010100000
311111201010211001
43312233102200
5113024243440
610230201344
71413531460
oct366572240
9144633731
1064681120
1133568979
12197b3254
131052886a
148839ba0
155a29b9a
hex3daf4a0

64681120 has 48 divisors (see below), whose sum is σ = 174642048. Its totient is φ = 22176000.

The previous prime is 64681117. The next prime is 64681121. The reversal of 64681120 is 2118646.

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

It is not an unprimeable number, because it can be changed into a prime (64681121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27756 + ... + 29995.

It is an arithmetic number, because the mean of its divisors is an integer number (3638376).

Almost surely, 264681120 is an apocalyptic number.

It is an amenable number.

64681120 is an abundant number, since it is smaller than the sum of its proper divisors (109960928).

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

64681120 is a wasteful number, since it uses less digits than its factorization.

64681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57773 (or 57765 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 64681120 is about 8042.4573359142. The cubic root of 64681120 is about 401.4139956509.

Adding to 64681120 its reverse (2118646), we get a palindrome (66799766).

The spelling of 64681120 in words is "sixty-four million, six hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 57751 115502 231004 288755 404257 462008 577510 808514 924016 1155020 1617028 1848032 2021285 2310040 3234056 4042570 4620080 6468112 8085140 9240160 12936224 16170280 32340560 64681120