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81119232 = 21135163
BaseRepresentation
bin1001101010111…
…00100000000000
312122122021200000
410311130200000
5131231303412
612014400000
72003334135
oct465344000
9178567600
1081119232
1141876097
1223200000
1313a6295c
14aab858c
1571c54dc
hex4d5c800

81119232 has 144 divisors (see below), whose sum is σ = 244455120. Its totient is φ = 26873856.

The previous prime is 81119221. The next prime is 81119237. The reversal of 81119232 is 23291118.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 81119196 and 81119205.

It is not an unprimeable number, because it can be changed into a prime (81119237) 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, 497583 + ... + 497745.

It is an arithmetic number, because the mean of its divisors is an integer number (1697605).

Almost surely, 281119232 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 81119232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122227560).

81119232 is an abundant number, since it is smaller than the sum of its proper divisors (163335888).

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

81119232 is an equidigital number, since it uses as much as digits as its factorization.

81119232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 81119232 is about 9006.6215641604. The cubic root of 81119232 is about 432.8870661460.

The spelling of 81119232 in words is "eighty-one million, one hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 163 192 216 243 256 288 324 326 384 432 486 489 512 576 648 652 768 864 972 978 1024 1152 1296 1304 1467 1536 1728 1944 1956 2048 2304 2592 2608 2934 3072 3456 3888 3912 4401 4608 5184 5216 5868 6144 6912 7776 7824 8802 9216 10368 10432 11736 13203 13824 15552 15648 17604 18432 20736 20864 23472 26406 27648 31104 31296 35208 39609 41472 41728 46944 52812 55296 62208 62592 70416 79218 82944 83456 93888 105624 124416 125184 140832 158436 165888 166912 187776 211248 248832 250368 281664 316872 333824 375552 422496 497664 500736 563328 633744 751104 844992 1001472 1126656 1267488 1502208 1689984 2253312 2534976 3004416 3379968 4506624 5069952 6759936 9013248 10139904 13519872 20279808 27039744 40559616 81119232