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10534944 = 253761257
BaseRepresentation
bin101000001100…
…000000100000
3201211020020010
4220030000200
510144104234
61013444520
7155355060
oct50140040
921736203
1010534944
115a46072
123640740
13224b1c4
1415833a0
15dd16e9
hexa0c020

10534944 has 96 divisors (see below), whose sum is σ = 32247936. Its totient is φ = 2949120.

The previous prime is 10534939. The next prime is 10534963. The reversal of 10534944 is 44943501.

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

It is a super-2 number, since 2×105349442 = 221970090166272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40864 + ... + 41120.

It is an arithmetic number, because the mean of its divisors is an integer number (335916).

Almost surely, 210534944 is an apocalyptic number.

10534944 is a gapful number since it is divisible by the number (14) 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 10534944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123968).

10534944 is an abundant number, since it is smaller than the sum of its proper divisors (21712992).

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

10534944 is a wasteful number, since it uses less digits than its factorization.

10534944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 10534944 is about 3245.7578467902. The cubic root of 10534944 is about 219.2186053435.

The spelling of 10534944 in words is "ten million, five hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 257 336 366 427 488 514 672 732 771 854 976 1028 1281 1464 1542 1708 1799 1952 2056 2562 2928 3084 3416 3598 4112 5124 5397 5856 6168 6832 7196 8224 10248 10794 12336 13664 14392 15677 20496 21588 24672 28784 31354 40992 43176 47031 57568 62708 86352 94062 109739 125416 172704 188124 219478 250832 329217 376248 438956 501664 658434 752496 877912 1316868 1504992 1755824 2633736 3511648 5267472 10534944