Search a number
-
+
81004374 = 23411131347
BaseRepresentation
bin1001101010000…
…00011101010110
312122102110010000
410311000131112
5131214114444
612012112130
72002345233
oct465003526
9178373100
1081004374
11417a7870
1223165646
1313a225a9
14aa8878a
1571a1469
hex4d40756

81004374 has 80 divisors (see below), whose sum is σ = 200097216. Its totient is φ = 24289200.

The previous prime is 81004373. The next prime is 81004381. The reversal of 81004374 is 47340018.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81004373) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 233269 + ... + 233615.

Almost surely, 281004374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81004374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100048608).

81004374 is an abundant number, since it is smaller than the sum of its proper divisors (119092842).

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

81004374 is a wasteful number, since it uses less digits than its factorization.

81004374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 81004374 is about 9000.2429967196. The cubic root of 81004374 is about 432.6826590997.

The spelling of 81004374 in words is "eighty-one million, four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 131 162 198 262 297 347 393 594 694 786 891 1041 1179 1441 1782 2082 2358 2882 3123 3537 3817 4323 6246 7074 7634 8646 9369 10611 11451 12969 18738 21222 22902 25938 28107 34353 38907 45457 56214 68706 77814 90914 103059 116721 136371 206118 233442 272742 309177 409113 500027 618354 818226 1000054 1227339 1500081 2454678 3000162 3682017 4500243 7364034 9000486 13500729 27001458 40502187 81004374