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19801056 = 25311171103
BaseRepresentation
bin100101110001…
…0001111100000
31101020222221110
41023202033200
520032113211
61544223320
7330210012
oct113421740
941228843
1019801056
11101a4910
12676ab40
134143a02
1428b61b2
151b11ea6
hex12e23e0

19801056 has 96 divisors (see below), whose sum is σ = 60092928. Its totient is φ = 5642240.

The previous prime is 19801051. The next prime is 19801069. The reversal of 19801056 is 65010891.

It is a happy number.

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 (19801051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17401 + ... + 18503.

It is an arithmetic number, because the mean of its divisors is an integer number (625968).

Almost surely, 219801056 is an apocalyptic number.

19801056 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 19801056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046464).

19801056 is an abundant number, since it is smaller than the sum of its proper divisors (40291872).

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

19801056 is a wasteful number, since it uses less digits than its factorization.

19801056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 19801056 is about 4449.8377498511. The cubic root of 19801056 is about 270.5387323060.

The spelling of 19801056 in words is "nineteen million, eight hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1103 1122 1496 1632 2206 2244 2992 3309 4412 4488 5984 6618 8824 8976 12133 13236 17648 17952 18751 24266 26472 35296 36399 37502 48532 52944 56253 72798 75004 97064 105888 112506 145596 150008 194128 206261 225012 291192 300016 388256 412522 450024 582384 600032 618783 825044 900048 1164768 1237566 1650088 1800096 2475132 3300176 4950264 6600352 9900528 19801056