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81081216 = 273329809
BaseRepresentation
bin1001101010100…
…11001110000000
312122120100112000
410311103032000
5131224044331
612013504000
72003115246
oct465231600
9178510460
1081081216
114184a577
12231a2000
1313a4b568
14aaa8796
1571b90e6
hex4d53380

81081216 has 128 divisors (see below), whose sum is σ = 247860000. Its totient is φ = 26062848.

The previous prime is 81081199. The next prime is 81081241. The reversal of 81081216 is 61218018.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 81081216.

It is a congruent number.

It is an unprimeable number.

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, 99820 + ... + 100628.

Almost surely, 281081216 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 81081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123930000).

81081216 is an abundant number, since it is smaller than the sum of its proper divisors (166778784).

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

81081216 is a wasteful number, since it uses less digits than its factorization.

81081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 81081216 is about 9004.5108695587. The cubic root of 81081216 is about 432.8194323443.

The spelling of 81081216 in words is "eighty-one million, eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 809 864 928 1044 1152 1392 1566 1618 1728 1856 2088 2427 2784 3132 3236 3456 3712 4176 4854 5568 6264 6472 7281 8352 9708 11136 12528 12944 14562 16704 19416 21843 23461 25056 25888 29124 33408 38832 43686 46922 50112 51776 58248 70383 77664 87372 93844 100224 103552 116496 140766 155328 174744 187688 211149 232992 281532 310656 349488 375376 422298 465984 563064 633447 698976 750752 844596 931968 1126128 1266894 1397952 1501504 1689192 2252256 2533788 2795904 3003008 3378384 4504512 5067576 6756768 9009024 10135152 13513536 20270304 27027072 40540608 81081216