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640414005 = 357111393989
BaseRepresentation
bin100110001010111…
…111000100110101
31122122001101212020
4212022333010311
52302421222010
6143314143353
721604300140
oct4612770465
91578041766
10640414005
112a9551580
1215a581b59
13a28a89ca
14610a7057
153b352470
hex262bf135

640414005 has 64 divisors (see below), whose sum is σ = 1287014400. Its totient is φ = 264165120.

The previous prime is 640414003. The next prime is 640414009. The reversal of 640414005 is 500414046.

It is not a de Polignac number, because 640414005 - 21 = 640414003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640414003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158551 + ... + 162539.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 2640414005 is an apocalyptic number.

It is an amenable number.

640414005 is an abundant number, since it is smaller than the sum of its proper divisors (646600395).

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

640414005 is a wasteful number, since it uses less digits than its factorization.

640414005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 640414005 is about 25306.4024507633. The cubic root of 640414005 is about 861.9596581950.

The spelling of 640414005 in words is "six hundred forty million, four hundred fourteen thousand, five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 139 165 231 385 417 695 973 1155 1529 2085 2919 3989 4587 4865 7645 10703 11967 14595 19945 22935 27923 32109 43879 53515 59835 83769 131637 139615 160545 219395 307153 418845 554471 658185 921459 1535765 1663413 2772355 3881297 4607295 6099181 8317065 11643891 18297543 19406485 30495905 42694267 58219455 91487715 128082801 213471335 640414005