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81830784 = 273724349
BaseRepresentation
bin1001110000010…
…10001110000000
312200222102201210
410320022032000
5131422041114
612041530120
72012356500
oct470121600
9180872653
1081830784
1142211752
12234a3940
1313c517a9
14ac21a00
1572b6259
hex4e0a380

81830784 has 96 divisors (see below), whose sum is σ = 252909000. Its totient is φ = 23374848.

The previous prime is 81830773. The next prime is 81830789. The reversal of 81830784 is 48703818.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81830789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16642 + ... + 20990.

Almost surely, 281830784 is an apocalyptic number.

81830784 is a gapful number since it is divisible by the number (84) 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 81830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126454500).

81830784 is an abundant number, since it is smaller than the sum of its proper divisors (171078216).

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

81830784 is a wasteful number, since it uses less digits than its factorization.

81830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 81830784 is about 9046.0369223213. The cubic root of 81830784 is about 434.1490989626.

The spelling of 81830784 in words is "eighty-one million, eight hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4349 4704 6272 8698 9408 13047 17396 18816 26094 30443 34792 52188 60886 69584 91329 104376 121772 139168 182658 208752 213101 243544 278336 365316 417504 426202 487088 556672 639303 730632 835008 852404 974176 1278606 1461264 1670016 1704808 1948352 2557212 2922528 3409616 3896704 5114424 5845056 6819232 10228848 11690112 13638464 20457696 27276928 40915392 81830784