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20285440 = 21157283
BaseRepresentation
bin100110101100…
…0100000000000
31102011121101121
41031120200000
520143113230
62002442024
7334265140
oct115304000
942147347
1020285440
11104a582a
126963314
134283326
1429a0920
151baa77a
hex1358800

20285440 has 96 divisors (see below), whose sum is σ = 55823040. Its totient is φ = 6930432.

The previous prime is 20285431. The next prime is 20285443. The reversal of 20285440 is 4458202.

It is a happy number.

It is a super-2 number, since 2×202854402 = 822998151987200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20285443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71539 + ... + 71821.

It is an arithmetic number, because the mean of its divisors is an integer number (581490).

Almost surely, 220285440 is an apocalyptic number.

20285440 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 20285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27911520).

20285440 is an abundant number, since it is smaller than the sum of its proper divisors (35537600).

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

20285440 is an equidigital number, since it uses as much as digits as its factorization.

20285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 20285440 is about 4503.9360563845. The cubic root of 20285440 is about 272.7270055216.

The spelling of 20285440 in words is "twenty million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 283 320 448 512 560 566 640 896 1024 1120 1132 1280 1415 1792 1981 2048 2240 2264 2560 2830 3584 3962 4480 4528 5120 5660 7168 7924 8960 9056 9905 10240 11320 14336 15848 17920 18112 19810 22640 31696 35840 36224 39620 45280 63392 71680 72448 79240 90560 126784 144896 158480 181120 253568 289792 316960 362240 507136 579584 633920 724480 1014272 1267840 1448960 2028544 2535680 2897920 4057088 5071360 10142720 20285440