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81061440 = 2635174967
BaseRepresentation
bin1001101010011…
…10011001000000
312122112100101120
410311032121000
5131222431230
612013232240
72003003505
oct465163100
9178470346
1081061440
1141836729
1223192680
1313a42565
14aaa14ac
1571b3310
hex4d4e640

81061440 has 112 divisors (see below), whose sum is σ = 272564352. Its totient is φ = 20340736.

The previous prime is 81061439. The next prime is 81061441. The reversal of 81061440 is 4416018.

It is an interprime number because it is at equal distance from previous prime (81061439) and next prime (81061441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 81061440.

It is not an unprimeable number, because it can be changed into a prime (81061441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13837 + ... + 18803.

Almost surely, 281061440 is an apocalyptic number.

81061440 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 81061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136282176).

81061440 is an abundant number, since it is smaller than the sum of its proper divisors (191502912).

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

81061440 is a wasteful number, since it uses less digits than its factorization.

81061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 81061440 is about 9003.4126863096. The cubic root of 81061440 is about 432.7842407447.

Adding to 81061440 its reverse (4416018), we get a palindrome (85477458).

The spelling of 81061440 in words is "eighty-one million, sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 4967 5440 8160 9934 14901 16320 19868 24835 29802 39736 49670 59604 74505 79472 84439 99340 119208 149010 158944 168878 198680 238416 253317 298020 317888 337756 397360 422195 476832 506634 596040 675512 794720 844390 953664 1013268 1192080 1266585 1351024 1589440 1688780 2026536 2384160 2533170 2702048 3377560 4053072 4768320 5066340 5404096 6755120 8106144 10132680 13510240 16212288 20265360 27020480 40530720 81061440