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21329400 = 23352191871
BaseRepresentation
bin101000101011…
…1010111111000
31111010122102210
41101113113320
520430020100
62041055120
7346203561
oct121272770
944118383
1021329400
1111049104
1271874a0
13455a561
142b93168
151d14c50
hex14575f8

21329400 has 96 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 5385600.

The previous prime is 21329377. The next prime is 21329401. The reversal of 21329400 is 492312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21329401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10465 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 221329400 is an apocalyptic number.

21329400 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 21329400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

21329400 is an abundant number, since it is smaller than the sum of its proper divisors (48309000).

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

21329400 is a wasteful number, since it uses less digits than its factorization.

21329400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21329400 is about 4618.3763380651. The cubic root of 21329400 is about 277.3274635613.

The spelling of 21329400 in words is "twenty-one million, three hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1871 1900 2280 2850 3742 3800 5613 5700 7484 9355 11226 11400 14968 18710 22452 28065 35549 37420 44904 46775 56130 71098 74840 93550 106647 112260 140325 142196 177745 187100 213294 224520 280650 284392 355490 374200 426588 533235 561300 710980 853176 888725 1066470 1122600 1421960 1777450 2132940 2666175 3554900 4265880 5332350 7109800 10664700 21329400