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1466164480 = 285111011031
BaseRepresentation
bin101011101100011…
…1110010100000000
310210011211212120011
41113120332110000
511000314230410
6401252554304
751222123004
oct12730762400
93704755504
101466164480
11692680090
1234b022994
131a49a6561
14dca16704
1588ab418a
hex5763e500

1466164480 has 144 divisors (see below), whose sum is σ = 3872873088. Its totient is φ = 527360000.

The previous prime is 1466164457. The next prime is 1466164481. The reversal of 1466164480 is 844616641.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466164481) 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, 1421565 + ... + 1422595.

It is an arithmetic number, because the mean of its divisors is an integer number (26894952).

Almost surely, 21466164480 is an apocalyptic number.

1466164480 is a gapful number since it is divisible by the number (10) 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 1466164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936436544).

1466164480 is an abundant number, since it is smaller than the sum of its proper divisors (2406708608).

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

1466164480 is a wasteful number, since it uses less digits than its factorization.

1466164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 1466164480 is about 38290.5272880905. The cubic root of 1466164480 is about 1136.0415907539.

The spelling of 1466164480 in words is "one billion, four hundred sixty-six million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 256 320 352 404 440 505 640 704 808 880 1010 1031 1111 1280 1408 1616 1760 2020 2062 2222 2816 3232 3520 4040 4124 4444 5155 5555 6464 7040 8080 8248 8888 10310 11110 11341 12928 14080 16160 16496 17776 20620 22220 22682 25856 32320 32992 35552 41240 44440 45364 56705 64640 65984 71104 82480 88880 90728 104131 113410 129280 131968 142208 164960 177760 181456 208262 226820 263936 284416 329920 355520 362912 416524 453640 520655 659840 711040 725824 833048 907280 1041310 1145441 1319680 1422080 1451648 1666096 1814560 2082620 2290882 2903296 3332192 3629120 4165240 4581764 5727205 6664384 7258240 8330480 9163528 11454410 13328768 14516480 16660960 18327056 22908820 26657536 33321920 36654112 45817640 66643840 73308224 91635280 133287680 146616448 183270560 293232896 366541120 733082240 1466164480