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1689366672 = 24337896277
BaseRepresentation
bin110010010110001…
…1011000010010000
311100201211201102000
41210230123002100
511424434213142
6435344554000
756602244160
oct14454330220
94321751360
101689366672
11797670204
123b1922900
1320bcc5666
141205185a0
159d4a314c
hex64b1b090

1689366672 has 160 divisors (see below), whose sum is σ = 5604998400. Its totient is φ = 477176832.

The previous prime is 1689366649. The next prime is 1689366677. The reversal of 1689366672 is 2766639861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1689366677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265998 + ... + 272274.

It is an arithmetic number, because the mean of its divisors is an integer number (35031240).

Almost surely, 21689366672 is an apocalyptic number.

1689366672 is a gapful number since it is divisible by the number (12) 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 1689366672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802499200).

1689366672 is an abundant number, since it is smaller than the sum of its proper divisors (3915631728).

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

1689366672 is a wasteful number, since it uses less digits than its factorization.

1689366672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6378 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1689366672 is about 41101.9059412091. The cubic root of 1689366672 is about 1190.9896134467.

The spelling of 1689366672 in words is "one billion, six hundred eighty-nine million, three hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 89 108 112 126 144 168 178 189 216 252 267 336 356 378 432 504 534 623 712 756 801 1008 1068 1246 1424 1512 1602 1869 2136 2403 2492 3024 3204 3738 4272 4806 4984 5607 6277 6408 7476 9612 9968 11214 12554 12816 14952 16821 18831 19224 22428 25108 29904 33642 37662 38448 43939 44856 50216 56493 67284 75324 87878 89712 100432 112986 131817 134568 150648 169479 175756 225972 263634 269136 301296 338958 351512 395451 451944 527268 558653 677916 703024 790902 903888 1054536 1117306 1186353 1355832 1581804 1675959 2109072 2234612 2372706 2711664 3163608 3351918 3910571 4469224 4745412 5027877 6327216 6703836 7821142 8938448 9490824 10055754 11731713 13407672 15083631 15642284 18981648 20111508 23463426 26815344 30167262 31284568 35195139 40223016 46926852 60334524 62569136 70390278 80446032 93853704 105585417 120669048 140780556 187707408 211170834 241338096 281561112 422341668 563122224 844683336 1689366672