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21100992 = 2631197103
BaseRepresentation
bin101000001111…
…1100111000000
31110201001010020
41100133213000
520400212432
62032133440
7344232633
oct120374700
943631106
1021100992
1110a02540
127097280
1344aa5c3
142b33c1a
151cbc22c
hex141f9c0

21100992 has 112 divisors (see below), whose sum is σ = 62130432. Its totient is φ = 6266880.

The previous prime is 21100969. The next prime is 21100993. The reversal of 21100992 is 29900112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100993) 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, 204813 + ... + 204915.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 221100992 is an apocalyptic number.

21100992 is a gapful number since it is divisible by the number (22) 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 21100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31065216).

21100992 is an abundant number, since it is smaller than the sum of its proper divisors (41029440).

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

21100992 is a wasteful number, since it uses less digits than its factorization.

21100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 21100992 is about 4593.5816091586. The cubic root of 21100992 is about 276.3339792317. Note that the first 3 decimals are identical.

The spelling of 21100992 in words is "twenty-one million, one hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 103 132 176 192 194 206 264 291 309 352 388 412 528 582 618 704 776 824 1056 1067 1133 1164 1236 1552 1648 2112 2134 2266 2328 2472 3104 3201 3296 3399 4268 4532 4656 4944 6208 6402 6592 6798 8536 9064 9312 9888 9991 12804 13596 17072 18128 18624 19776 19982 25608 27192 29973 34144 36256 39964 51216 54384 59946 68288 72512 79928 102432 108768 109901 119892 159856 204864 217536 219802 239784 319712 329703 439604 479568 639424 659406 879208 959136 1318812 1758416 1918272 2637624 3516832 5275248 7033664 10550496 21100992