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20314080 = 2532514107
BaseRepresentation
bin100110101111…
…1011111100000
31102020001200100
41031133133200
520200022310
62003222400
7334444503
oct115373740
942201610
1020314080
11105152a6
126977a00
134293387
1429ab13a
151bb3ec0
hex135f7e0

20314080 has 72 divisors (see below), whose sum is σ = 69326712. Its totient is φ = 5416704.

The previous prime is 20314069. The next prime is 20314081. The reversal of 20314080 is 8041302.

20314080 = T245 + T246 + ... + T514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5614 + ... + 8493.

It is an arithmetic number, because the mean of its divisors is an integer number (962871).

Almost surely, 220314080 is an apocalyptic number.

20314080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20314080 is an abundant number, since it is smaller than the sum of its proper divisors (49012632).

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

20314080 is a wasteful number, since it uses less digits than its factorization.

20314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14128 (or 14117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20314080 is about 4507.1143761835. The cubic root of 20314080 is about 272.8552950465.

Adding to 20314080 its reverse (8041302), we get a palindrome (28355382).

The spelling of 20314080 in words is "twenty million, three hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14107 28214 42321 56428 70535 84642 112856 126963 141070 169284 211605 225712 253926 282140 338568 423210 451424 507852 564280 634815 677136 846420 1015704 1128560 1269630 1354272 1692840 2031408 2257120 2539260 3385680 4062816 5078520 6771360 10157040 20314080