Search a number
-
+
85534240 = 25511232113
BaseRepresentation
bin1010001100100…
…10011000100000
312221221120220211
411012102120200
5133344043430
612253143504
72056012651
oct506223040
9187846824
1085534240
1144311160
122478ab94
131494a39c
14b507528
15779872a
hex5192620

85534240 has 96 divisors (see below), whose sum is σ = 230138496. Its totient is φ = 29736960.

The previous prime is 85534213. The next prime is 85534249. The reversal of 85534240 is 4243558.

It is a super-2 number, since 2×855342402 = 14632212424755200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85534249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39424 + ... + 41536.

It is an arithmetic number, because the mean of its divisors is an integer number (2397276).

Almost surely, 285534240 is an apocalyptic number.

85534240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115069248).

85534240 is an abundant number, since it is smaller than the sum of its proper divisors (144604256).

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

85534240 is a wasteful number, since it uses less digits than its factorization.

85534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 85534240 is about 9248.4723062785. The cubic root of 85534240 is about 440.6022057185.

Adding to 85534240 its reverse (4243558), we get a palindrome (89777798).

The spelling of 85534240 in words is "eighty-five million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2113 2530 3680 4048 4226 5060 8096 8452 10120 10565 16904 20240 21130 23243 33808 40480 42260 46486 48599 67616 84520 92972 97198 116215 169040 185944 194396 232430 242995 338080 371888 388792 464860 485990 534589 743776 777584 929720 971980 1069178 1555168 1859440 1943960 2138356 2672945 3718880 3887920 4276712 5345890 7775840 8553424 10691780 17106848 21383560 42767120 85534240