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21148000 = 255317311
BaseRepresentation
bin101000010101…
…1000101100000
31110210102121021
41100223011200
520403214000
62033135224
7344516656
oct120530540
943712537
1021148000
1110a34895
1270ba514
1344c5b13
142b46dd6
151ccb11a
hex142b160

21148000 has 96 divisors (see below), whose sum is σ = 55194048. Its totient is φ = 7936000.

The previous prime is 21147967. The next prime is 21148013. The reversal of 21148000 is 84112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67845 + ... + 68155.

It is an arithmetic number, because the mean of its divisors is an integer number (574938).

Almost surely, 221148000 is an apocalyptic number.

21148000 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 21148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024).

21148000 is an abundant number, since it is smaller than the sum of its proper divisors (34046048).

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

21148000 is a wasteful number, since it uses less digits than its factorization.

21148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 21148000 is about 4598.6954671950. The cubic root of 21148000 is about 276.5390292040.

The spelling of 21148000 in words is "twenty-one million, one hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 311 340 400 425 500 544 622 680 800 850 1000 1244 1360 1555 1700 2000 2125 2488 2720 3110 3400 4000 4250 4976 5287 6220 6800 7775 8500 9952 10574 12440 13600 15550 17000 21148 24880 26435 31100 34000 38875 42296 49760 52870 62200 68000 77750 84592 105740 124400 132175 155500 169184 211480 248800 264350 311000 422960 528700 622000 660875 845920 1057400 1244000 1321750 2114800 2643500 4229600 5287000 10574000 21148000