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21148320 = 253544059
BaseRepresentation
bin101000010101…
…1001010100000
31110210110001010
41100223022200
520403221240
62033140520
7344520624
oct120531240
943713033
1021148320
1110a35056
1270ba740
1344c5ccb
142b47184
151ccb280
hex142b2a0

21148320 has 48 divisors (see below), whose sum is σ = 66618720. Its totient is φ = 5639424.

The previous prime is 21148297. The next prime is 21148321. The reversal of 21148320 is 2384112.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (21148321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21550 + ... + 22509.

It is an arithmetic number, because the mean of its divisors is an integer number (1387890).

Almost surely, 221148320 is an apocalyptic number.

21148320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21148320 is an abundant number, since it is smaller than the sum of its proper divisors (45470400).

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

21148320 is a wasteful number, since it uses less digits than its factorization.

21148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44077 (or 44069 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21148320 is about 4598.7302595390. The cubic root of 21148320 is about 276.5404240095.

The spelling of 21148320 in words is "twenty-one million, one hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 44059 88118 132177 176236 220295 264354 352472 440590 528708 660885 704944 881180 1057416 1321770 1409888 1762360 2114832 2643540 3524720 4229664 5287080 7049440 10574160 21148320