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8764140 = 22357211271
BaseRepresentation
bin100001011011…
…101011101100
3121111021010210
4201123223230
54220423030
6511502420
7134331300
oct41335354
917437123
108764140
114a466a0
122b27a10
131a7b1a8
141241d00
15b81bb0
hex85baec

8764140 has 144 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 1814400.

The previous prime is 8764139. The next prime is 8764141. The reversal of 8764140 is 414678.

It is an interprime number because it is at equal distance from previous prime (8764139) and next prime (8764141).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8764098 and 8764107.

It is not an unprimeable number, because it can be changed into a prime (8764141) 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 47 ways as a sum of consecutive naturals, for example, 32205 + ... + 32475.

It is an arithmetic number, because the mean of its divisors is an integer number (217056).

Almost surely, 28764140 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 8764140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

8764140 is an abundant number, since it is smaller than the sum of its proper divisors (22491924).

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

8764140 is a wasteful number, since it uses less digits than its factorization.

8764140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8764140 is about 2960.4290229627. The cubic root of 8764140 is about 206.1752052028.

The spelling of 8764140 in words is "eight million, seven hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 271 294 308 330 385 420 462 490 539 542 588 660 735 770 813 924 980 1078 1084 1155 1355 1470 1540 1617 1626 1897 2156 2310 2695 2710 2940 2981 3234 3252 3794 4065 4620 5390 5420 5691 5962 6468 7588 8085 8130 8943 9485 10780 11382 11924 13279 14905 16170 16260 17886 18970 20867 22764 26558 28455 29810 32340 35772 37940 39837 41734 44715 53116 56910 59620 62601 66395 79674 83468 89430 104335 113820 125202 132790 146069 159348 178860 199185 208670 250404 265580 292138 313005 398370 417340 438207 584276 626010 730345 796740 876414 1252020 1460690 1752828 2191035 2921380 4382070 8764140