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21143400 = 23352131269
BaseRepresentation
bin101000010100…
…1111101101000
31110210012021220
41100221331220
520403042100
62033102040
7344500365
oct120517550
943705256
1021143400
1110a31393
1270b7920
1344c39b5
142b4546c
151cc9aa0
hex1429f68

21143400 has 96 divisors (see below), whose sum is σ = 66290400. Its totient is φ = 5574400.

The previous prime is 21143383. The next prime is 21143411. The reversal of 21143400 is 434112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21143400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78466 + ... + 78734.

It is an arithmetic number, because the mean of its divisors is an integer number (690525).

Almost surely, 221143400 is an apocalyptic number.

21143400 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 21143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33145200).

21143400 is an abundant number, since it is smaller than the sum of its proper divisors (45147000).

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

21143400 is a wasteful number, since it uses less digits than its factorization.

21143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 21143400 is about 4598.1952981577. The cubic root of 21143400 is about 276.5189773192.

Adding to 21143400 its reverse (434112), we get a palindrome (21577512).

The spelling of 21143400 in words is "twenty-one million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 131 150 200 262 269 300 393 524 538 600 655 786 807 1048 1076 1310 1345 1572 1614 1965 2152 2620 2690 3144 3228 3275 3930 4035 5240 5380 6456 6550 6725 7860 8070 9825 10760 13100 13450 15720 16140 19650 20175 26200 26900 32280 35239 39300 40350 53800 70478 78600 80700 105717 140956 161400 176195 211434 281912 352390 422868 528585 704780 845736 880975 1057170 1409560 1761950 2114340 2642925 3523900 4228680 5285850 7047800 10571700 21143400