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664050960 = 2435534159
BaseRepresentation
bin100111100101001…
…001110100010000
31201021112021200000
4213211021310100
52324444112320
6145520530000
722312224426
oct4745116420
91637467600
10664050960
11310926351
12166480900
13a7763681
146429b116
153d470c90
hex27949d10

664050960 has 120 divisors (see below), whose sum is σ = 2312768640. Its totient is φ = 177075072.

The previous prime is 664050953. The next prime is 664050967. The reversal of 664050960 is 69050466.

It is a happy number.

664050960 is a `hidden beast` number, since 6 + 640 + 5 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (664050953) and next prime (664050967).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (664050967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361 + ... + 36519.

It is an arithmetic number, because the mean of its divisors is an integer number (19273072).

Almost surely, 2664050960 is an apocalyptic number.

664050960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156384320).

664050960 is an abundant number, since it is smaller than the sum of its proper divisors (1648717680).

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

664050960 is a wasteful number, since it uses less digits than its factorization.

664050960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34187 (or 34169 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 664050960 is about 25769.1862502486. The cubic root of 664050960 is about 872.4364521057.

It can be divided in two parts, 6640 and 50960, that added together give a square (57600 = 2402).

The spelling of 664050960 in words is "six hundred sixty-four million, fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 34159 68318 102477 136636 170795 204954 273272 307431 341590 409908 512385 546544 614862 683180 819816 922293 1024770 1229724 1366360 1537155 1639632 1844586 2049540 2459448 2732720 2766879 3074310 3689172 4099080 4611465 4918896 5533758 6148620 7378344 8198160 8300637 9222930 11067516 12297240 13834395 14756688 16601274 18445860 22135032 24594480 27668790 33202548 36891720 41503185 44270064 55337580 66405096 73783440 83006370 110675160 132810192 166012740 221350320 332025480 664050960