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84459690 = 23257791697
BaseRepresentation
bin1010000100011…
…00000010101010
312212220222220200
411002030002222
5133110202230
612214133030
72043616110
oct502140252
9185828820
1084459690
11437478a7
1224351176
1314662263
14b307ab0
157635160
hex508c0aa

84459690 has 96 divisors (see below), whose sum is σ = 254292480. Its totient is φ = 19049472.

The previous prime is 84459679. The next prime is 84459719. The reversal of 84459690 is 9695448.

It is a happy number.

It is a super-2 number, since 2×844596902 = 14266878469792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48922 + ... + 50618.

It is an arithmetic number, because the mean of its divisors is an integer number (2648880).

Almost surely, 284459690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84459690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127146240).

84459690 is an abundant number, since it is smaller than the sum of its proper divisors (169832790).

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

84459690 is a wasteful number, since it uses less digits than its factorization.

84459690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 84459690 is about 9190.1953189255. The cubic root of 84459690 is about 438.7493583647.

The spelling of 84459690 in words is "eighty-four million, four hundred fifty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 79 90 105 126 158 210 237 315 395 474 553 630 711 790 1106 1185 1422 1659 1697 2370 2765 3318 3394 3555 4977 5091 5530 7110 8295 8485 9954 10182 11879 15273 16590 16970 23758 24885 25455 30546 35637 49770 50910 59395 71274 76365 106911 118790 134063 152730 178185 213822 268126 356370 402189 534555 670315 804378 938441 1069110 1206567 1340630 1876882 2010945 2413134 2815323 4021890 4692205 5630646 6032835 8445969 9384410 12065670 14076615 16891938 28153230 42229845 84459690