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21078400 = 27527941
BaseRepresentation
bin101000001101…
…0000110000000
31110122220010111
41100122012000
520344002100
62031441104
7344110030
oct120320600
943586114
1021078400
1110997572
127086194
1344a0235
142b298c0
151cb56ba
hex141a180

21078400 has 96 divisors (see below), whose sum is σ = 59572080. Its totient is φ = 7219200.

The previous prime is 21078371. The next prime is 21078403. The reversal of 21078400 is 487012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21078403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21930 + ... + 22870.

Almost surely, 221078400 is an apocalyptic number.

21078400 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 21078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29786040).

21078400 is an abundant number, since it is smaller than the sum of its proper divisors (38493680).

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

21078400 is an equidigital number, since it uses as much as digits as its factorization.

21078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 21078400 is about 4591.1218672564. The cubic root of 21078400 is about 276.2353240499.

The spelling of 21078400 in words is "twenty-one million, seventy-eight thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 941 1120 1400 1600 1882 2240 2800 3200 3764 4480 4705 5600 6587 7528 9410 11200 13174 15056 18820 22400 23525 26348 30112 32935 37640 47050 52696 60224 65870 75280 94100 105392 120448 131740 150560 164675 188200 210784 263480 301120 329350 376400 421568 526960 602240 658700 752800 843136 1053920 1317400 1505600 2107840 2634800 3011200 4215680 5269600 10539200 21078400