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21007000 = 235373001
BaseRepresentation
bin101000000100…
…0101010011000
31110112021012001
41100020222120
520334211000
62030130344
7343361620
oct120105230
943467161
1021007000
1110948963
1270509b4
1344768a1
142b0b880
151c9e46a
hex1408a98

21007000 has 64 divisors (see below), whose sum is σ = 56197440. Its totient is φ = 7200000.

The previous prime is 21006977. The next prime is 21007001. The reversal of 21007000 is 70012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21007001) 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, 5500 + ... + 8500.

It is an arithmetic number, because the mean of its divisors is an integer number (878085).

Almost surely, 221007000 is an apocalyptic number.

21007000 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 21007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28098720).

21007000 is an abundant number, since it is smaller than the sum of its proper divisors (35190440).

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

21007000 is a wasteful number, since it uses less digits than its factorization.

21007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 21007000 is about 4583.3393939354. The cubic root of 21007000 is about 275.9230689457.

Adding to 21007000 its reverse (70012), we get a palindrome (21077012).

The spelling of 21007000 in words is "twenty-one million, seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3001 3500 6002 7000 12004 15005 21007 24008 30010 42014 60020 75025 84028 105035 120040 150050 168056 210070 300100 375125 420140 525175 600200 750250 840280 1050350 1500500 2100700 2625875 3001000 4201400 5251750 10503500 21007000