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21110144 = 271122947
BaseRepresentation
bin101000010000…
…1110110000000
31110201111200012
41100201312000
520401011034
62032244052
7344301416
oct120416600
943644605
1021110144
1110a09400
1270a0628
1344b1813
142b372b6
151cbecce
hex1421d80

21110144 has 96 divisors (see below), whose sum is σ = 48837600. Its totient is φ = 9067520.

The previous prime is 21110129. The next prime is 21110149. The reversal of 21110144 is 44101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110149) 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, 449129 + ... + 449175.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 221110144 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 21110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

21110144 is an abundant number, since it is smaller than the sum of its proper divisors (27727456).

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

21110144 is a wasteful number, since it uses less digits than its factorization.

21110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 21110144 is about 4594.5776737367. The cubic root of 21110144 is about 276.3739243211.

Adding to 21110144 its reverse (44101112), we get a palindrome (65211256).

The spelling of 21110144 in words is "twenty-one million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 47 58 64 88 94 116 121 128 176 188 232 242 319 352 376 464 484 517 638 704 752 928 968 1034 1276 1363 1408 1504 1856 1936 2068 2552 2726 3008 3509 3712 3872 4136 5104 5452 5687 6016 7018 7744 8272 10208 10904 11374 14036 14993 15488 16544 20416 21808 22748 28072 29986 33088 40832 43616 45496 56144 59972 66176 87232 90992 112288 119944 164923 174464 181984 224576 239888 329846 363968 449152 479776 659692 727936 959552 1319384 1919104 2638768 5277536 10555072 21110144