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21480000 = 26354179
BaseRepresentation
bin101000111110…
…0001001000000
31111102022000120
41101330021000
520444330000
62044220240
7350401623
oct121741100
944368016
1021480000
1111141273
12723a680
1345b0c79
142bd1dba
151d446a0
hex147c240

21480000 has 140 divisors (see below), whose sum is σ = 71414640. Its totient is φ = 5696000.

The previous prime is 21479963. The next prime is 21480001. The reversal of 21480000 is 8412.

It is a super-2 number, since 2×214800002 = 922780800000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21480001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119911 + ... + 120089.

Almost surely, 221480000 is an apocalyptic number.

21480000 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 21480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35707320).

21480000 is an abundant number, since it is smaller than the sum of its proper divisors (49934640).

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

21480000 is an equidigital number, since it uses as much as digits as its factorization.

21480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 21480000 is about 4634.6520905026. The cubic root of 21480000 is about 277.9786399060.

Adding to 21480000 its reverse (8412), we get a palindrome (21488412).

The spelling of 21480000 in words is "twenty-one million, four hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 179 192 200 240 250 300 320 358 375 400 480 500 537 600 625 716 750 800 895 960 1000 1074 1200 1250 1432 1500 1600 1790 1875 2000 2148 2400 2500 2685 2864 3000 3580 3750 4000 4296 4475 4800 5000 5370 5728 6000 7160 7500 8000 8592 8950 10000 10740 11456 12000 13425 14320 15000 17184 17900 20000 21480 22375 24000 26850 28640 30000 34368 35800 40000 42960 44750 53700 57280 60000 67125 71600 85920 89500 107400 111875 120000 134250 143200 171840 179000 214800 223750 268500 286400 335625 358000 429600 447500 537000 671250 716000 859200 895000 1074000 1342500 1432000 1790000 2148000 2685000 3580000 4296000 5370000 7160000 10740000 21480000