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21123760 = 245767563
BaseRepresentation
bin101000010010…
…1001010110000
31110202012100111
41100211022300
520401430020
62032431104
7344356210
oct120451260
943665314
1021123760
1110a18659
1270a8494
1344b7a88
142b3c240
151cc3d5a
hex14252b0

21123760 has 80 divisors (see below), whose sum is σ = 57067776. Its totient is φ = 7121664.

The previous prime is 21123757. The next prime is 21123761. The reversal of 21123760 is 6732112.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21123761) 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, 37239 + ... + 37801.

Almost surely, 221123760 is an apocalyptic number.

21123760 is a gapful number since it is divisible by the number (20) 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 21123760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28533888).

21123760 is an abundant number, since it is smaller than the sum of its proper divisors (35944016).

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

21123760 is a wasteful number, since it uses less digits than its factorization.

21123760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 21123760 is about 4596.0591815163. The cubic root of 21123760 is about 276.4333317570.

Adding to 21123760 its reverse (6732112), we get a palindrome (27855872).

The spelling of 21123760 in words is "twenty-one million, one hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 563 670 938 1072 1126 1340 1876 2252 2345 2680 2815 3752 3941 4504 4690 5360 5630 7504 7882 9008 9380 11260 15764 18760 19705 22520 31528 37520 37721 39410 45040 63056 75442 78820 150884 157640 188605 264047 301768 315280 377210 528094 603536 754420 1056188 1320235 1508840 2112376 2640470 3017680 4224752 5280940 10561880 21123760