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81814104 = 23332937353
BaseRepresentation
bin1001110000001…
…10001001011000
312200221120212000
410320012021120
5131421022404
612041321000
72012260041
oct470061130
9180846760
1081814104
1142200169
1223496160
1313c47018
14ac198c8
1572b1339
hex4e06258

81814104 has 128 divisors (see below), whose sum is σ = 242136000. Its totient is φ = 25546752.

The previous prime is 81814069. The next prime is 81814111. The reversal of 81814104 is 40141818.

It is a super-2 number, since 2×818141042 = 13387095226645632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231592 + ... + 231944.

Almost surely, 281814104 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 81814104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121068000).

81814104 is an abundant number, since it is smaller than the sum of its proper divisors (160321896).

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

81814104 is a wasteful number, since it uses less digits than its factorization.

81814104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 81814104 is about 9045.1149246430. The cubic root of 81814104 is about 434.1195986584.

It can be divided in two parts, 81814 and 104, that added together give a palindrome (81918).

The spelling of 81814104 in words is "eighty-one million, eight hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 87 108 111 116 148 174 216 222 232 261 296 333 348 353 444 522 666 696 706 783 888 999 1044 1059 1073 1332 1412 1566 1998 2088 2118 2146 2664 2824 3132 3177 3219 3996 4236 4292 6264 6354 6438 7992 8472 8584 9531 9657 10237 12708 12876 13061 19062 19314 20474 25416 25752 26122 28971 30711 38124 38628 39183 40948 52244 57942 61422 76248 77256 78366 81896 92133 104488 115884 117549 122844 156732 184266 231768 235098 245688 276399 313464 352647 368532 378769 470196 552798 705294 737064 757538 940392 1105596 1136307 1410588 1515076 2211192 2272614 2821176 3030152 3408921 4545228 6817842 9090456 10226763 13635684 20453526 27271368 40907052 81814104