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21438120 = 233511109149
BaseRepresentation
bin101000111000…
…1111010101000
31111100011120110
41101301322220
520442004440
62043254320
7350135544
oct121617250
944304513
1021438120
1111112860
12721a3a0
134597ba2
142bc0a24
151d37080
hex1471ea8

21438120 has 128 divisors (see below), whose sum is σ = 71280000. Its totient is φ = 5114880.

The previous prime is 21438103. The next prime is 21438187. The reversal of 21438120 is 2183412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143806 + ... + 143954.

It is an arithmetic number, because the mean of its divisors is an integer number (556875).

Almost surely, 221438120 is an apocalyptic number.

21438120 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 21438120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35640000).

21438120 is an abundant number, since it is smaller than the sum of its proper divisors (49841880).

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

21438120 is a wasteful number, since it uses less digits than its factorization.

21438120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21438120 is about 4630.1317475856. The cubic root of 21438120 is about 277.7978621330.

The spelling of 21438120 in words is "twenty-one million, four hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 109 110 120 132 149 165 218 220 264 298 327 330 436 440 447 545 596 654 660 745 872 894 1090 1192 1199 1308 1320 1490 1635 1639 1788 2180 2235 2398 2616 2980 3270 3278 3576 3597 4360 4470 4796 4917 5960 5995 6540 6556 7194 8195 8940 9592 9834 11990 13080 13112 14388 16241 16390 17880 17985 19668 23980 24585 28776 32482 32780 35970 39336 47960 48723 49170 64964 65560 71940 81205 97446 98340 129928 143880 162410 178651 194892 196680 243615 324820 357302 389784 487230 535953 649640 714604 893255 974460 1071906 1429208 1786510 1948920 2143812 2679765 3573020 4287624 5359530 7146040 10719060 21438120