Search a number
-
+
84713280 = 2635791117
BaseRepresentation
bin1010000110010…
…01111101000000
312220101212202220
411003021331000
5133141311110
612223411040
72046023331
oct503117500
9186355686
1084713280
1143900383
1224453a80
1314720802
14b372288
157685370
hex50c9f40

84713280 has 112 divisors (see below), whose sum is σ = 272613120. Its totient is φ = 22284288.

The previous prime is 84713269. The next prime is 84713281. The reversal of 84713280 is 8231748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84713281) 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 15 ways as a sum of consecutive naturals, for example, 75282 + ... + 76398.

Almost surely, 284713280 is an apocalyptic number.

84713280 is a gapful number since it is divisible by the number (80) 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 84713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136306560).

84713280 is an abundant number, since it is smaller than the sum of its proper divisors (187899840).

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

84713280 is a wasteful number, since it uses less digits than its factorization.

84713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 84713280 is about 9203.9817470484. The cubic root of 84713280 is about 439.1880342193.

The spelling of 84713280 in words is "eighty-four million, seven hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 948 960 1117 1185 1264 1580 1896 2234 2370 2528 3160 3351 3792 4468 4740 5056 5585 6320 6702 7584 8936 9480 11170 12640 13404 15168 16755 17872 18960 22340 25280 26808 33510 35744 37920 44680 53616 67020 71488 75840 88243 89360 107232 134040 176486 178720 214464 264729 268080 352972 357440 441215 529458 536160 705944 882430 1058916 1072320 1323645 1411888 1764860 2117832 2647290 2823776 3529720 4235664 5294580 5647552 7059440 8471328 10589160 14118880 16942656 21178320 28237760 42356640 84713280