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84452680 = 235133312
BaseRepresentation
bin1010000100010…
…10010101001000
312212220122022001
411002022111020
5133104441210
612214040344
72043556504
oct502122510
9185818261
1084452680
1143742604
12243490b4
131465c000
14b305304
15763303a
hex508a548

84452680 has 96 divisors (see below), whose sum is σ = 212700600. Its totient is φ = 30176640.

The previous prime is 84452677. The next prime is 84452707. The reversal of 84452680 is 8625448.

It can be written as a sum of positive squares in 4 ways, for example, as 1387684 + 83064996 = 1178^2 + 9114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724265 + ... + 2724295.

Almost surely, 284452680 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 84452680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106350300).

84452680 is an abundant number, since it is smaller than the sum of its proper divisors (128247920).

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

84452680 is a wasteful number, since it uses less digits than its factorization.

84452680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 84452680 is about 9189.8139262991. The cubic root of 84452680 is about 438.7372195637.

The spelling of 84452680 in words is "eighty-four million, four hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 169 248 260 310 338 403 520 620 676 806 845 961 1240 1352 1612 1690 1922 2015 2197 3224 3380 3844 4030 4394 4805 5239 6760 7688 8060 8788 9610 10478 10985 12493 16120 17576 19220 20956 21970 24986 26195 38440 41912 43940 49972 52390 62465 68107 87880 99944 104780 124930 136214 162409 209560 249860 272428 324818 340535 499720 544856 649636 681070 812045 1299272 1362140 1624090 2111317 2724280 3248180 4222634 6496360 8445268 10556585 16890536 21113170 42226340 84452680