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64064140 = 22574111161
BaseRepresentation
bin1111010001100…
…0101010001100
311110112210110221
43310120222030
5112400023030
610205041124
71405351630
oct364305214
9143483427
1064064140
1133187378
12195561a4
1310370a9a
148718dc0
155956e7a
hex3d18a8c

64064140 has 48 divisors (see below), whose sum is σ = 157518144. Its totient is φ = 21427200.

The previous prime is 64064123. The next prime is 64064141. The reversal of 64064140 is 4146046.

64064140 = T113 + T114 + ... + T727.

It is not an unprimeable number, because it can be changed into a prime (64064141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160 + ... + 11320.

It is an arithmetic number, because the mean of its divisors is an integer number (3281628).

Almost surely, 264064140 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 64064140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78759072).

64064140 is an abundant number, since it is smaller than the sum of its proper divisors (93454004).

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

64064140 is a wasteful number, since it uses less digits than its factorization.

64064140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11218 (or 11216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 64064140 is about 8004.0077461232. The cubic root of 64064140 is about 400.1335803857.

The spelling of 64064140 in words is "sixty-four million, sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 11161 22322 44644 55805 78127 111610 156254 223220 312508 390635 457601 781270 915202 1562540 1830404 2288005 3203207 4576010 6406414 9152020 12812828 16016035 32032070 64064140