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21405400 = 23521943131
BaseRepresentation
bin101000110100…
…1111011011000
31111021111200121
41101221323120
520434433100
62042443024
7346641262
oct121517330
944244617
1021405400
11110a0215
127203474
134586023
142bb2b32
151d2c51a
hex1469ed8

21405400 has 96 divisors (see below), whose sum is σ = 54014400. Its totient is φ = 7862400.

The previous prime is 21405383. The next prime is 21405401. The reversal of 21405400 is 450412.

It is a super-2 number, since 2×214054002 = 916382298320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21405401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163335 + ... + 163465.

It is an arithmetic number, because the mean of its divisors is an integer number (562650).

Almost surely, 221405400 is an apocalyptic number.

21405400 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 21405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007200).

21405400 is an abundant number, since it is smaller than the sum of its proper divisors (32609000).

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

21405400 is a wasteful number, since it uses less digits than its factorization.

21405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 21405400 is about 4626.5970215700. The cubic root of 21405400 is about 277.6564602083.

Adding to 21405400 its reverse (450412), we get a palindrome (21855812).

The spelling of 21405400 in words is "twenty-one million, four hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 43 50 76 86 95 100 131 152 172 190 200 215 262 344 380 430 475 524 655 760 817 860 950 1048 1075 1310 1634 1720 1900 2150 2489 2620 3268 3275 3800 4085 4300 4978 5240 5633 6536 6550 8170 8600 9956 11266 12445 13100 16340 19912 20425 22532 24890 26200 28165 32680 40850 45064 49780 56330 62225 81700 99560 107027 112660 124450 140825 163400 214054 225320 248900 281650 428108 497800 535135 563300 856216 1070270 1126600 2140540 2675675 4281080 5351350 10702700 21405400