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640143168 = 26374111617
BaseRepresentation
bin100110001001111…
…100111101000000
31122121112122100020
4212021330331000
52302334040133
6143304253440
721602061420
oct4611747500
91577478306
10640143168
112a9387045
1215a471280
13a2812652
1461036480
153b2ec0b3
hex2627cf40

640143168 has 112 divisors (see below), whose sum is σ = 1983053184. Its totient is φ = 178421760.

The previous prime is 640143113. The next prime is 640143173. The reversal of 640143168 is 861341046.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49296 + ... + 60912.

It is an arithmetic number, because the mean of its divisors is an integer number (17705832).

Almost surely, 2640143168 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 640143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991526592).

640143168 is an abundant number, since it is smaller than the sum of its proper divisors (1342910016).

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

640143168 is a wasteful number, since it uses less digits than its factorization.

640143168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 11670 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 640143168 is about 25301.0507291693. The cubic root of 640143168 is about 861.8381308271.

The spelling of 640143168 in words is "six hundred forty million, one hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3444 3936 4592 6888 7872 9184 11617 13776 18368 23234 27552 34851 46468 55104 69702 81319 92936 139404 162638 185872 243957 278808 325276 371744 476297 487914 557616 650552 743488 952594 975828 1115232 1301104 1428891 1905188 1951656 2230464 2602208 2857782 3334079 3810376 3903312 5204416 5715564 6668158 7620752 7806624 10002237 11431128 13336316 15241504 15613248 20004474 22862256 26672632 30483008 40008948 45724512 53345264 80017896 91449024 106690528 160035792 213381056 320071584 640143168