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640805814 = 232117179577
BaseRepresentation
bin100110001100011…
…110101110110110
31122122210022022200
4212030132232312
52303021241224
6143330405330
721610521345
oct4614365666
91578708280
10640805814
112a9799990
1215a730846
13a29b514c
1461169b5c
153b3cd5c9
hex2631ebb6

640805814 has 96 divisors (see below), whose sum is σ = 1558103040. Its totient is φ = 188697600.

The previous prime is 640805807. The next prime is 640805819. The reversal of 640805814 is 418508046.

640805814 is a `hidden beast` number, since 640 + 8 + 0 + 5 + 8 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640805819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110294 + ... + 1110870.

It is an arithmetic number, because the mean of its divisors is an integer number (16230240).

Almost surely, 2640805814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640805814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779051520).

640805814 is an abundant number, since it is smaller than the sum of its proper divisors (917297226).

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

640805814 is a wasteful number, since it uses less digits than its factorization.

640805814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 640805814 is about 25314.1425689277. The cubic root of 640805814 is about 862.1354063301.

The spelling of 640805814 in words is "six hundred forty million, eight hundred five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 79 99 142 158 198 213 237 426 474 577 639 711 781 869 1154 1278 1422 1562 1731 1738 2343 2607 3462 4686 5193 5214 5609 6347 7029 7821 10386 11218 12694 14058 15642 16827 19041 33654 38082 40967 45583 50481 57123 61699 81934 91166 100962 114246 122901 123398 136749 185097 245802 273498 368703 370194 410247 450637 501413 555291 737406 820494 901274 1002826 1110582 1351911 1504239 2703822 3008478 3236393 4055733 4512717 6472786 8111466 9025434 9709179 19418358 29127537 35600323 58255074 71200646 106800969 213601938 320402907 640805814