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81682734 = 23729199337
BaseRepresentation
bin1001101111001…
…10000100101110
312200200220122110
410313212010232
5131402321414
612034424450
72011202040
oct467460456
9180626573
1081682734
11421204a1
1223432126
1313bcc2a3
14abc3a90
157287459
hex4de612e

81682734 has 64 divisors (see below), whose sum is σ = 194688000. Its totient is φ = 22353408.

The previous prime is 81682709. The next prime is 81682751. The reversal of 81682734 is 43728618.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81682692 and 81682701.

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, 242214 + ... + 242550.

It is an arithmetic number, because the mean of its divisors is an integer number (3042000).

Almost surely, 281682734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81682734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97344000).

81682734 is an abundant number, since it is smaller than the sum of its proper divisors (113005266).

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

81682734 is a wasteful number, since it uses less digits than its factorization.

81682734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577.

The product of its digits is 64512, while the sum is 39.

The square root of 81682734 is about 9037.8500762073. The cubic root of 81682734 is about 433.8871169675.

The spelling of 81682734 in words is "eighty-one million, six hundred eighty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 199 203 337 398 406 597 609 674 1011 1194 1218 1393 2022 2359 2786 4179 4718 5771 7077 8358 9773 11542 14154 17313 19546 29319 34626 40397 58638 67063 68411 80794 121191 134126 136822 201189 205233 242382 402378 410466 469441 938882 1408323 1944827 2816646 3889654 5834481 11668962 13613789 27227578 40841367 81682734