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21401600 = 212521119
BaseRepresentation
bin101000110100…
…1000000000000
31111021022110212
41101221000000
520434322400
62042413252
7346624223
oct121510000
944238425
1021401600
1111098380
127201228
13458438c
142bb15ba
151d2b335
hex1469000

21401600 has 156 divisors (see below), whose sum is σ = 60941040. Its totient is φ = 7372800.

The previous prime is 21401593. The next prime is 21401617. The reversal of 21401600 is 610412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126391 + ... + 1126409.

Almost surely, 221401600 is an apocalyptic number.

21401600 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 21401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30470520).

21401600 is an abundant number, since it is smaller than the sum of its proper divisors (39539440).

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

21401600 is a wasteful number, since it uses less digits than its factorization.

21401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 21401600 is about 4626.1863343363. The cubic root of 21401600 is about 277.6400288874.

The spelling of 21401600 in words is "twenty-one million, four hundred one thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 110 128 152 160 176 190 200 209 220 256 275 304 320 352 380 400 418 440 475 512 550 608 640 704 760 800 836 880 950 1024 1045 1100 1216 1280 1408 1520 1600 1672 1760 1900 2048 2090 2200 2432 2560 2816 3040 3200 3344 3520 3800 4096 4180 4400 4864 5120 5225 5632 6080 6400 6688 7040 7600 8360 8800 9728 10240 10450 11264 12160 12800 13376 14080 15200 16720 17600 19456 20480 20900 22528 24320 25600 26752 28160 30400 33440 35200 38912 41800 45056 48640 51200 53504 56320 60800 66880 70400 77824 83600 97280 102400 107008 112640 121600 133760 140800 167200 194560 214016 225280 243200 267520 281600 334400 389120 428032 486400 535040 563200 668800 856064 972800 1070080 1126400 1337600 1945600 2140160 2675200 4280320 5350400 10700800 21401600