Search a number
-
+
84708120 = 23357313253
BaseRepresentation
bin1010000110010…
…00101100011000
312220101121200210
411003020230120
5133141124440
612223331120
72046002310
oct503105430
9186347623
1084708120
11438a7512
1224450aa0
131471b363
14b370440
157683a80
hex50c8b18

84708120 has 128 divisors (see below), whose sum is σ = 299888640. Its totient is φ = 18731520.

The previous prime is 84708119. The next prime is 84708179. The reversal of 84708120 is 2180748.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24414 + ... + 27666.

It is an arithmetic number, because the mean of its divisors is an integer number (2342880).

Almost surely, 284708120 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 84708120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149944320).

84708120 is an abundant number, since it is smaller than the sum of its proper divisors (215180520).

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

84708120 is a wasteful number, since it uses less digits than its factorization.

84708120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 84708120 is about 9203.7014293164. The cubic root of 84708120 is about 439.1791168600.

Adding to 84708120 its reverse (2180748), we get a palindrome (86888868).

The spelling of 84708120 in words is "eighty-four million, seven hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3253 3255 3720 4340 5208 6506 6510 8680 9759 13012 13020 16265 19518 22771 26024 26040 32530 39036 45542 48795 65060 68313 78072 91084 97590 100843 113855 130120 136626 182168 195180 201686 227710 273252 302529 341565 390360 403372 455420 504215 546504 605058 683130 705901 806744 910840 1008430 1210116 1366260 1411802 1512645 2016860 2117703 2420232 2732520 2823604 3025290 3529505 4033720 4235406 5647208 6050580 7059010 8470812 10588515 12101160 14118020 16941624 21177030 28236040 42354060 84708120