Search a number
-
+
84656740 = 22573759277
BaseRepresentation
bin1010000101111…
…00001001100100
312220022000012211
411002330021210
5133133003430
612222253204
72045366440
oct502741144
9186260184
1084656740
1143871953
1224427204
1314700b5c
14b359820
15767372a
hex50bc264

84656740 has 96 divisors (see below), whose sum is σ = 212970240. Its totient is φ = 27661824.

The previous prime is 84656731. The next prime is 84656743. The reversal of 84656740 is 4765648.

It is a junction number, because it is equal to n+sod(n) for n = 84656693 and 84656702.

It is not an unprimeable number, because it can be changed into a prime (84656743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305482 + ... + 305758.

It is an arithmetic number, because the mean of its divisors is an integer number (2218440).

Almost surely, 284656740 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 84656740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106485120).

84656740 is an abundant number, since it is smaller than the sum of its proper divisors (128313500).

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

84656740 is a wasteful number, since it uses less digits than its factorization.

84656740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 84656740 is about 9200.9097376292. The cubic root of 84656740 is about 439.0903037023.

The spelling of 84656740 in words is "eighty-four million, six hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 59 70 74 118 140 148 185 236 259 277 295 370 413 518 554 590 740 826 1036 1108 1180 1295 1385 1652 1939 2065 2183 2590 2770 3878 4130 4366 5180 5540 7756 8260 8732 9695 10249 10915 15281 16343 19390 20498 21830 30562 32686 38780 40996 43660 51245 61124 65372 71743 76405 81715 102490 114401 143486 152810 163430 204980 228802 286972 305620 326860 358715 457604 572005 604691 717430 1144010 1209382 1434860 2288020 2418764 3023455 4232837 6046910 8465674 12093820 16931348 21164185 42328370 84656740