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21098112 = 273747167
BaseRepresentation
bin101000001111…
…0111010000000
31110200220011120
41100132322000
520400114422
62032112240
7344221350
oct120367200
943626146
1021098112
1110a00362
127095680
1344a91b9
142b32b60
151cbb45c
hex141ee80

21098112 has 128 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 5864448.

The previous prime is 21098111. The next prime is 21098141. The reversal of 21098112 is 21189012.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21098111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126253 + ... + 126419.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 221098112 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 21098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

21098112 is an abundant number, since it is smaller than the sum of its proper divisors (44704128).

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

21098112 is a wasteful number, since it uses less digits than its factorization.

21098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 21098112 is about 4593.2681175825. The cubic root of 21098112 is about 276.3214067095.

The spelling of 21098112 in words is "twenty-one million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 167 168 188 192 224 282 329 334 336 376 384 448 501 564 658 668 672 752 896 987 1002 1128 1169 1316 1336 1344 1504 1974 2004 2256 2338 2632 2672 2688 3008 3507 3948 4008 4512 4676 5264 5344 6016 7014 7849 7896 8016 9024 9352 10528 10688 14028 15698 15792 16032 18048 18704 21056 21376 23547 28056 31396 31584 32064 37408 42112 47094 54943 56112 62792 63168 64128 74816 94188 109886 112224 125584 126336 149632 164829 188376 219772 224448 251168 329658 376752 439544 448896 502336 659316 753504 879088 1004672 1318632 1507008 1758176 2637264 3014016 3516352 5274528 7032704 10549056 21098112