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81245340 = 2232511371109
BaseRepresentation
bin1001101011110…
…11010010011100
312122212200122200
410311323102130
5131244322330
612021211500
72004400611
oct465732234
9178780580
1081245340
1141951910
1223260b90
1313aa8187
14ab0c508
1571eca60
hex4d7b49c

81245340 has 144 divisors (see below), whose sum is σ = 276363360. Its totient is φ = 19146240.

The previous prime is 81245323. The next prime is 81245347. The reversal of 81245340 is 4354218.

81245340 is a `hidden beast` number, since 8 + 124 + 534 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81245347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72706 + ... + 73814.

It is an arithmetic number, because the mean of its divisors is an integer number (1919190).

Almost surely, 281245340 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 81245340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138181680).

81245340 is an abundant number, since it is smaller than the sum of its proper divisors (195118020).

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

81245340 is a wasteful number, since it uses less digits than its factorization.

81245340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 81245340 is about 9013.6196946621. The cubic root of 81245340 is about 433.1112721547. Note that the first 3 decimals are identical.

Adding to 81245340 its reverse (4354218), we get a palindrome (85599558).

The spelling of 81245340 in words is "eighty-one million, two hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1109 1110 1221 1332 1628 1665 1980 2035 2218 2220 2442 3327 3330 3663 4070 4436 4884 5545 6105 6654 6660 7326 8140 9981 11090 12199 12210 13308 14652 16635 18315 19962 22180 24398 24420 33270 36597 36630 39924 41033 48796 49905 60995 66540 73194 73260 82066 99810 109791 121990 123099 146388 164132 182985 199620 205165 219582 243980 246198 365970 369297 410330 439164 451363 492396 548955 615495 731940 738594 820660 902726 1097910 1230990 1354089 1477188 1805452 1846485 2195820 2256815 2461980 2708178 3692970 4062267 4513630 5416356 6770445 7385940 8124534 9027260 13540890 16249068 20311335 27081780 40622670 81245340