Search a number
-
+
85093040 = 2454125943
BaseRepresentation
bin1010001001001…
…10101010110000
312221010011201002
411010212222300
5133240434130
612235501132
72052164444
oct504465260
9187104632
1085093040
114403a72a
12245b77a8
1314824616
14b430824
15770cb45
hex5126ab0

85093040 has 40 divisors (see below), whose sum is σ = 202674528. Its totient is φ = 33205760.

The previous prime is 85093027. The next prime is 85093051. The reversal of 85093040 is 4039058.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 85092994 and 85093012.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9692 + ... + 16251.

Almost surely, 285093040 is an apocalyptic number.

85093040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85093040 is an abundant number, since it is smaller than the sum of its proper divisors (117581488).

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

85093040 is a wasteful number, since it uses less digits than its factorization.

85093040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25997 (or 25991 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 85093040 is about 9224.5888797279. The cubic root of 85093040 is about 439.8433326531.

The spelling of 85093040 in words is "eighty-five million, ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 25943 51886 103772 129715 207544 259430 415088 518860 1037720 1063663 2075440 2127326 4254652 5318315 8509304 10636630 17018608 21273260 42546520 85093040