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21101248 = 267193767
BaseRepresentation
bin101000001111…
…1101011000000
31110201001110201
41100133223000
520400214443
62032134544
7344233450
oct120375300
943631421
1021101248
1110a02753
127097454
1344aa75c
142b33d60
151cbc34d
hex141fac0

21101248 has 112 divisors (see below), whose sum is σ = 52506880. Its totient is φ = 8211456.

The previous prime is 21101243. The next prime is 21101251. The reversal of 21101248 is 84210112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (21101243) 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, 314911 + ... + 314977.

Almost surely, 221101248 is an apocalyptic number.

21101248 is a gapful number since it is divisible by the number (28) 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 21101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26253440).

21101248 is an abundant number, since it is smaller than the sum of its proper divisors (31405632).

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

21101248 is a wasteful number, since it uses less digits than its factorization.

21101248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 21101248 is about 4593.6094740411. The cubic root of 21101248 is about 276.3350967339.

The spelling of 21101248 in words is "twenty-one million, one hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 64 67 74 76 112 133 134 148 152 224 259 266 268 296 304 448 469 518 532 536 592 608 703 938 1036 1064 1072 1184 1216 1273 1406 1876 2072 2128 2144 2368 2479 2546 2812 3752 4144 4256 4288 4921 4958 5092 5624 7504 8288 8512 8911 9842 9916 10184 11248 15008 16576 17353 17822 19684 19832 20368 22496 30016 34706 35644 39368 39664 40736 44992 47101 69412 71288 78736 79328 81472 94202 138824 142576 157472 158656 188404 277648 285152 314944 329707 376808 555296 570304 659414 753616 1110592 1318828 1507232 2637656 3014464 5275312 10550624 21101248