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81326080 = 212511192
BaseRepresentation
bin1001101100011…
…11000000000000
312200000210102001
410312033000000
5131304413310
612023033344
72005155163
oct466170000
9180023361
1081326080
11419a7540
122329b854
1313b05b54
14ab2dada
15721693a
hex4d8f000

81326080 has 156 divisors (see below), whose sum is σ = 224695512. Its totient is φ = 28016640.

The previous prime is 81326059. The next prime is 81326107. The reversal of 81326080 is 8062318.

It is a super-2 number, since 2×813260802 = 13227862576332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4280311 + ... + 4280329.

Almost surely, 281326080 is an apocalyptic number.

81326080 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 81326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112347756).

81326080 is an abundant number, since it is smaller than the sum of its proper divisors (143369432).

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

81326080 is a wasteful number, since it uses less digits than its factorization.

81326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 81326080 is about 9018.0973603083. The cubic root of 81326080 is about 433.2546971050.

Adding to 81326080 its reverse (8062318), we get a palindrome (89388398).

The spelling of 81326080 in words is "eighty-one million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 256 304 320 352 361 380 418 440 512 608 640 704 722 760 836 880 1024 1045 1216 1280 1408 1444 1520 1672 1760 1805 2048 2090 2432 2560 2816 2888 3040 3344 3520 3610 3971 4096 4180 4864 5120 5632 5776 6080 6688 7040 7220 7942 8360 9728 10240 11264 11552 12160 13376 14080 14440 15884 16720 19456 19855 20480 22528 23104 24320 26752 28160 28880 31768 33440 38912 39710 45056 46208 48640 53504 56320 57760 63536 66880 77824 79420 92416 97280 107008 112640 115520 127072 133760 158840 184832 194560 214016 225280 231040 254144 267520 317680 369664 389120 428032 462080 508288 535040 635360 739328 856064 924160 1016576 1070080 1270720 1478656 1848320 2033152 2140160 2541440 3696640 4066304 4280320 5082880 7393280 8132608 10165760 16265216 20331520 40663040 81326080