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864714004 = 2271143109599
BaseRepresentation
bin110011100010100…
…111110100010100
32020021010000121121
4303202213310110
53232331322004
6221445453324
730266643040
oct6342476424
92207100547
10864714004
11404121480
12201711244
1310a1c06bb
1482bb3020
1550dab854
hex338a7d14

864714004 has 96 divisors (see below), whose sum is σ = 1951488000. Its totient is φ = 325503360.

The previous prime is 864714001. The next prime is 864714017. The reversal of 864714004 is 400417468.

864714004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864714001) 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, 1443297 + ... + 1443895.

It is an arithmetic number, because the mean of its divisors is an integer number (20328000).

Almost surely, 2864714004 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 864714004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975744000).

864714004 is an abundant number, since it is smaller than the sum of its proper divisors (1086773996).

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

864714004 is a wasteful number, since it uses less digits than its factorization.

864714004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 864714004 is about 29406.0198598858. The cubic root of 864714004 is about 952.7029225304.

The spelling of 864714004 in words is "eight hundred sixty-four million, seven hundred fourteen thousand, four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 109 154 172 218 301 308 436 473 599 602 763 946 1198 1199 1204 1526 1892 2396 2398 3052 3311 4193 4687 4796 6589 6622 8386 8393 9374 13178 13244 16772 16786 18748 25757 26356 32809 33572 46123 51514 51557 65291 65618 92246 103028 103114 130582 131236 180299 184492 206228 261164 283327 360598 360899 457037 566654 718201 721196 721798 914074 1133308 1436402 1443596 1828148 1983289 2807513 2872804 3966578 5027407 5615026 7933156 10054814 11230052 19652591 20109628 30882643 39305182 61765286 78610364 123530572 216178501 432357002 864714004