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21029200 = 2452192767
BaseRepresentation
bin101000000111…
…0000101010000
31110120101122021
41100032011100
520340413300
62030421224
7343513423
oct120160520
943511567
1021029200
1110963605
127061814
134483a1a
142b159ba
151ca5d1a
hex140e150

21029200 has 60 divisors (see below), whose sum is σ = 53200960. Its totient is φ = 7966080.

The previous prime is 21029189. The next prime is 21029207. The reversal of 21029200 is 292012.

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 not an unprimeable number, because it can be changed into a prime (21029207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6217 + ... + 8983.

Almost surely, 221029200 is an apocalyptic number.

21029200 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 21029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26600480).

21029200 is an abundant number, since it is smaller than the sum of its proper divisors (32171760).

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

21029200 is a wasteful number, since it uses less digits than its factorization.

21029200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 21029200 is about 4585.7605694148. The cubic root of 21029200 is about 276.0202323612.

The spelling of 21029200 in words is "twenty-one million, twenty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 2767 3800 5534 7600 11068 13835 22136 27670 44272 52573 55340 69175 105146 110680 138350 210292 221360 262865 276700 420584 525730 553400 841168 1051460 1106800 1314325 2102920 2628650 4205840 5257300 10514600 21029200