Search a number
-
+
81107840 = 2751141281
BaseRepresentation
bin1001101010110…
…01101110000000
312122121201001002
410311121232000
5131230422330
612014231132
72003256002
oct465315600
9178551032
1081107840
1141868580
12231b54a8
1313a5a708
14aab4372
1571c1e45
hex4d59b80

81107840 has 128 divisors (see below), whose sum is σ = 217455840. Its totient is φ = 28672000.

The previous prime is 81107837. The next prime is 81107843. The reversal of 81107840 is 4870118.

It is an interprime number because it is at equal distance from previous prime (81107837) and next prime (81107843).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81107843) 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, 288500 + ... + 288780.

Almost surely, 281107840 is an apocalyptic number.

81107840 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 81107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108727920).

81107840 is an abundant number, since it is smaller than the sum of its proper divisors (136348000).

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

81107840 is a wasteful number, since it uses less digits than its factorization.

81107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 81107840 is about 9005.9891183590. The cubic root of 81107840 is about 432.8668009955.

Adding to 81107840 its reverse (4870118), we get a palindrome (85977958).

It can be divided in two parts, 811078 and 40, that added together give a palindrome (811118).

The spelling of 81107840 in words is "eighty-one million, one hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 205 220 281 320 328 352 410 440 451 562 640 656 704 820 880 902 1124 1312 1405 1408 1640 1760 1804 2248 2255 2624 2810 3091 3280 3520 3608 4496 4510 5248 5620 6182 6560 7040 7216 8992 9020 11240 11521 12364 13120 14432 15455 17984 18040 22480 23042 24728 26240 28864 30910 35968 36080 44960 46084 49456 57605 57728 61820 72160 89920 92168 98912 115210 123640 126731 144320 179840 184336 197824 230420 247280 253462 288640 368672 395648 460840 494560 506924 633655 737344 921680 989120 1013848 1267310 1474688 1843360 1978240 2027696 2534620 3686720 4055392 5069240 7373440 8110784 10138480 16221568 20276960 40553920 81107840