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21472000 = 28531161
BaseRepresentation
bin101000111101…
…0001100000000
31111101220001021
41101322030000
520444101000
62044115224
7350336404
oct121721400
944356037
1021472000
1111136260
127235b14
1345aa434
142bcd104
151d4211a
hex147a300

21472000 has 144 divisors (see below), whose sum is σ = 59308704. Its totient is φ = 7680000.

The previous prime is 21471991. The next prime is 21472021. The reversal of 21472000 is 27412.

It is a super-2 number, since 2×214720002 = 922093568000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351970 + ... + 352030.

It is an arithmetic number, because the mean of its divisors is an integer number (411866).

Almost surely, 221472000 is an apocalyptic number.

21472000 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 21472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29654352).

21472000 is an abundant number, since it is smaller than the sum of its proper divisors (37836704).

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

21472000 is an equidigital number, since it uses as much as digits as its factorization.

21472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 21472000 is about 4633.7889464239. The cubic root of 21472000 is about 277.9441255476.

Adding to 21472000 its reverse (27412), we get a palindrome (21499412).

The spelling of 21472000 in words is "twenty-one million, four hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 61 64 80 88 100 110 122 125 128 160 176 200 220 244 250 256 275 305 320 352 400 440 488 500 550 610 640 671 704 800 880 976 1000 1100 1220 1280 1342 1375 1408 1525 1600 1760 1952 2000 2200 2440 2684 2750 2816 3050 3200 3355 3520 3904 4000 4400 4880 5368 5500 6100 6400 6710 7040 7625 7808 8000 8800 9760 10736 11000 12200 13420 14080 15250 15616 16000 16775 17600 19520 21472 22000 24400 26840 30500 32000 33550 35200 39040 42944 44000 48800 53680 61000 67100 70400 78080 83875 85888 88000 97600 107360 122000 134200 167750 171776 176000 195200 214720 244000 268400 335500 352000 390400 429440 488000 536800 671000 858880 976000 1073600 1342000 1952000 2147200 2684000 4294400 5368000 10736000 21472000