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21234960 = 2434529113
BaseRepresentation
bin101000100000…
…0010100010000
31110221211220000
41101000110100
520414004320
62035050000
7345331335
oct121002420
943854800
1021234960
1110a9415a
127140900
134526586
142b6a98c
151ce6c90
hex1440510

21234960 has 200 divisors, whose sum is σ = 76970520. Its totient is φ = 5419008.

The previous prime is 21234953. The next prime is 21234973. The reversal of 21234960 is 6943212.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 21233664 = 36^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187864 + ... + 187976.

Almost surely, 221234960 is an apocalyptic number.

21234960 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 21234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38485260).

21234960 is an abundant number, since it is smaller than the sum of its proper divisors (55735560).

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

21234960 is a wasteful number, since it uses less digits than its factorization.

21234960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21234960 is about 4608.1406228543. The cubic root of 21234960 is about 276.9175511718.

The spelling of 21234960 in words is "twenty-one million, two hundred thirty-four thousand, nine hundred sixty".