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81336640 = 2657113301
BaseRepresentation
bin1001101100100…
…01100101000000
312200001022220011
410312101211000
5131310233030
612023154304
72005231030
oct466214500
9180038804
1081336640
1141a04470
12232a5994
1313b0a8b8
14ab338c0
157219b2a
hex4d91940

81336640 has 112 divisors (see below), whose sum is σ = 241547904. Its totient is φ = 25344000.

The previous prime is 81336637. The next prime is 81336641. The reversal of 81336640 is 4663318.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81336641) 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, 22990 + ... + 26290.

Almost surely, 281336640 is an apocalyptic number.

81336640 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 81336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120773952).

81336640 is an abundant number, since it is smaller than the sum of its proper divisors (160211264).

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

81336640 is a wasteful number, since it uses less digits than its factorization.

81336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 81336640 is about 9018.6828306577. The cubic root of 81336640 is about 433.2734486608.

Adding to 81336640 its reverse (4663318), we get a palindrome (85999958).

The spelling of 81336640 in words is "eighty-one million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3301 3520 4928 6160 6602 12320 13204 16505 23107 24640 26408 33010 36311 46214 52816 66020 72622 92428 105632 115535 132040 145244 181555 184856 211264 231070 254177 264080 290488 363110 369712 462140 508354 528160 580976 726220 739424 924280 1016708 1056320 1161952 1270885 1452440 1478848 1848560 2033416 2323904 2541770 2904880 3697120 4066832 5083540 5809760 7394240 8133664 10167080 11619520 16267328 20334160 40668320 81336640