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21437500 = 225673
BaseRepresentation
bin101000111000…
…1110000111100
31111100010201111
41101301300330
520442000000
62043251404
7350134000
oct121616074
944303644
1021437500
1111112347
127219b64
134597816
142bc0700
151d36cba
hex1471c3c

21437500 has 84 divisors (see below), whose sum is σ = 54686800. Its totient is φ = 7350000.

The previous prime is 21437443. The next prime is 21437501. The reversal of 21437500 is 573412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21437501) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3062497 + ... + 3062503.

Almost surely, 221437500 is an apocalyptic number.

21437500 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 21437500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27343400).

21437500 is an abundant number, since it is smaller than the sum of its proper divisors (33249300).

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

21437500 is an frugal number, since it uses more digits than its factorization.

21437500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 21437500 is about 4630.0647943630. The cubic root of 21437500 is about 277.7951840944.

The spelling of 21437500 in words is "twenty-one million, four hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 343 350 490 500 625 686 700 875 980 1225 1250 1372 1715 1750 2450 2500 3125 3430 3500 4375 4900 6125 6250 6860 8575 8750 12250 12500 15625 17150 17500 21875 24500 30625 31250 34300 42875 43750 61250 62500 85750 87500 109375 122500 153125 171500 214375 218750 306250 428750 437500 612500 765625 857500 1071875 1531250 2143750 3062500 4287500 5359375 10718750 21437500