Search a number
-
+
81136000 = 275311461
BaseRepresentation
bin1001101011000…
…00100110000000
312122200010200001
410311200212000
5131232323000
612015005344
72003434051
oct465404600
9178603601
1081136000
1141887750
1223209854
1313a6a48a
14aac0728
1571ca46a
hex4d60980

81136000 has 128 divisors (see below), whose sum is σ = 220540320. Its totient is φ = 29440000.

The previous prime is 81135983. The next prime is 81136037. The reversal of 81136000 is 63118.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175770 + ... + 176230.

Almost surely, 281136000 is an apocalyptic number.

81136000 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 81136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110270160).

81136000 is an abundant number, since it is smaller than the sum of its proper divisors (139404320).

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

81136000 is a wasteful number, since it uses less digits than its factorization.

81136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 81136000 is about 9007.5523867475. The cubic root of 81136000 is about 432.9168911746.

Adding to 81136000 its reverse (63118), we get a palindrome (81199118).

The spelling of 81136000 in words is "eighty-one million, one hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 461 500 550 640 704 800 880 922 1000 1100 1375 1408 1600 1760 1844 2000 2200 2305 2750 3200 3520 3688 4000 4400 4610 5071 5500 7040 7376 8000 8800 9220 10142 11000 11525 14752 16000 17600 18440 20284 22000 23050 25355 29504 35200 36880 40568 44000 46100 50710 57625 59008 73760 81136 88000 92200 101420 115250 126775 147520 162272 176000 184400 202840 230500 253550 295040 324544 368800 405680 461000 507100 633875 649088 737600 811360 922000 1014200 1267750 1475200 1622720 1844000 2028400 2535500 3245440 3688000 4056800 5071000 7376000 8113600 10142000 16227200 20284000 40568000 81136000