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84213480 = 233513371459
BaseRepresentation
bin1010000010011…
…11111011101000
312212110111011210
411001033323220
5133024312410
612204553120
72041542231
oct501177350
9185414153
1084213480
114359991a
12242527a0
13145a7180
14b282088
1575d7220
hex504fee8

84213480 has 128 divisors (see below), whose sum is σ = 279619200. Its totient is φ = 20155392.

The previous prime is 84213433. The next prime is 84213487. The reversal of 84213480 is 8431248.

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

It is not an unprimeable number, because it can be changed into a prime (84213487) 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, 56991 + ... + 58449.

It is an arithmetic number, because the mean of its divisors is an integer number (2184525).

Almost surely, 284213480 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 84213480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139809600).

84213480 is an abundant number, since it is smaller than the sum of its proper divisors (195405720).

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

84213480 is a wasteful number, since it uses less digits than its factorization.

84213480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84213480 is about 9176.7902885486. The cubic root of 84213480 is about 438.3226079709.

The spelling of 84213480 in words is "eighty-four million, two hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 37 39 40 52 60 65 74 78 104 111 120 130 148 156 185 195 222 260 296 312 370 390 444 481 520 555 740 780 888 962 1110 1443 1459 1480 1560 1924 2220 2405 2886 2918 3848 4377 4440 4810 5772 5836 7215 7295 8754 9620 11544 11672 14430 14590 17508 18967 19240 21885 28860 29180 35016 37934 43770 53983 56901 57720 58360 75868 87540 94835 107966 113802 151736 161949 175080 189670 215932 227604 269915 284505 323898 379340 431864 455208 539830 569010 647796 701779 758680 809745 1079660 1138020 1295592 1403558 1619490 2105337 2159320 2276040 2807116 3238980 3508895 4210674 5614232 6477960 7017790 8421348 10526685 14035580 16842696 21053370 28071160 42106740 84213480