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181981056 = 2731761457
BaseRepresentation
bin10101101100011…
…00111110000000
3110200102121002010
422312030332000
5333041343211
630020252520
74336546005
oct1266147600
9420377063
10181981056
11937a6074
1250b41140
132b9187ca
141a2518ac
1510e9a4a6
hexad8cf80

181981056 has 128 divisors (see below), whose sum is σ = 521350560. Its totient is φ = 56033280.

The previous prime is 181981013. The next prime is 181981081. The reversal of 181981056 is 650189181.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397980 + ... + 398436.

Almost surely, 2181981056 is an apocalyptic number.

181981056 is a gapful number since it is divisible by the number (16) 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 181981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260675280).

181981056 is an abundant number, since it is smaller than the sum of its proper divisors (339369504).

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

181981056 is a wasteful number, since it uses less digits than its factorization.

181981056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The square root of 181981056 is about 13490.0354336080. The cubic root of 181981056 is about 566.6854477435.

The spelling of 181981056 in words is "one hundred eighty-one million, nine hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 102 122 128 136 183 192 204 244 272 366 384 408 457 488 544 732 816 914 976 1037 1088 1371 1464 1632 1828 1952 2074 2176 2742 2928 3111 3264 3656 3904 4148 5484 5856 6222 6528 7312 7769 7808 8296 10968 11712 12444 14624 15538 16592 21936 23307 23424 24888 27877 29248 31076 33184 43872 46614 49776 55754 58496 62152 66368 83631 87744 93228 99552 111508 124304 132736 167262 175488 186456 199104 223016 248608 334524 372912 398208 446032 473909 497216 669048 745824 892064 947818 994432 1338096 1421727 1491648 1784128 1895636 2676192 2843454 2983296 3568256 3791272 5352384 5686908 7582544 10704768 11373816 15165088 22747632 30330176 45495264 60660352 90990528 181981056