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21474320 = 2457311237
BaseRepresentation
bin101000111101…
…0110000010000
31111102000020012
41101322300100
520444134240
62044134052
7350346230
oct121726020
944360205
1021474320
1111137a7a
127237328
1345ab4ca
142bcdcc0
151d42b65
hex147ac10

21474320 has 80 divisors (see below), whose sum is σ = 58948608. Its totient is φ = 7119360.

The previous prime is 21474293. The next prime is 21474353. The reversal of 21474320 is 2347412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×214743202 = 922292838924800, which contains 22 as substring.

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, 16742 + ... + 17978.

Almost surely, 221474320 is an apocalyptic number.

21474320 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 21474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29474304).

21474320 is an abundant number, since it is smaller than the sum of its proper divisors (37474288).

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

21474320 is a wasteful number, since it uses less digits than its factorization.

21474320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 21474320 is about 4634.0392747580. The cubic root of 21474320 is about 277.9541355940.

The spelling of 21474320 in words is "twenty-one million, four hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1237 1240 1736 2170 2474 2480 3472 4340 4948 6185 8659 8680 9896 12370 17318 17360 19792 24740 34636 38347 43295 49480 69272 76694 86590 98960 138544 153388 173180 191735 268429 306776 346360 383470 536858 613552 692720 766940 1073716 1342145 1533880 2147432 2684290 3067760 4294864 5368580 10737160 21474320