Search a number
-
+
84833320 = 235111314831
BaseRepresentation
bin1010000111001…
…11010000101000
312220121222102211
411003213100220
5133204131240
612230134504
72050033315
oct503472050
9186558384
1084833320
1143982590
12244b1434
1314763340
14b3a3d0c
1576aabea
hex50e7428

84833320 has 64 divisors (see below), whose sum is σ = 224259840. Its totient is φ = 28473600.

The previous prime is 84833317. The next prime is 84833339. The reversal of 84833320 is 2333848.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 13135.

It is an arithmetic number, because the mean of its divisors is an integer number (3504060).

Almost surely, 284833320 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 84833320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112129920).

84833320 is an abundant number, since it is smaller than the sum of its proper divisors (139426520).

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

84833320 is a wasteful number, since it uses less digits than its factorization.

84833320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14866 (or 14862 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 84833320 is about 9210.5005292872. The cubic root of 84833320 is about 439.3953816760.

The spelling of 84833320 in words is "eighty-four million, eight hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 14831 29662 59324 74155 118648 148310 163141 192803 296620 326282 385606 593240 652564 771212 815705 964015 1305128 1542424 1631410 1928030 2120833 3262820 3856060 4241666 6525640 7712120 8483332 10604165 16966664 21208330 42416660 84833320