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21478320 = 24325231297
BaseRepresentation
bin101000111101…
…1101110110000
31111102012201100
41101323232300
520444301240
62044204400
7350364003
oct121735660
944365640
1021478320
111113aa86
127239700
1345b0286
142bd153a
151d43e30
hex147bbb0

21478320 has 120 divisors (see below), whose sum is σ = 75325536. Its totient is φ = 5474304.

The previous prime is 21478313. The next prime is 21478333. The reversal of 21478320 is 2387412.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×214783202 = 922636460044800, which contains 22 as substring.

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, 15912 + ... + 17208.

Almost surely, 221478320 is an apocalyptic number.

21478320 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 21478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37662768).

21478320 is an abundant number, since it is smaller than the sum of its proper divisors (53847216).

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

21478320 is a wasteful number, since it uses less digits than its factorization.

21478320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 21478320 is about 4634.4708435807. The cubic root of 21478320 is about 277.9713926017.

The spelling of 21478320 in words is "twenty-one million, four hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1297 1380 1656 1840 2070 2594 2760 3312 3891 4140 5188 5520 6485 7782 8280 10376 11673 12970 15564 16560 19455 20752 23346 25940 29831 31128 38910 46692 51880 58365 59662 62256 77820 89493 93384 103760 116730 119324 149155 155640 178986 186768 233460 238648 268479 298310 311280 357972 447465 466920 477296 536958 596620 715944 894930 933840 1073916 1193240 1342395 1431888 1789860 2147832 2386480 2684790 3579720 4295664 5369580 7159440 10739160 21478320