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20314000 = 245371451
BaseRepresentation
bin100110101111…
…1011110010000
31102020001120101
41031133132100
520200022000
62003222144
7334444330
oct115373620
942201511
1020314000
1110515233
126977954
134293325
1429ab0c0
151bb3e6a
hex135f790

20314000 has 80 divisors (see below), whose sum is σ = 56174976. Its totient is φ = 6960000.

The previous prime is 20313989. The next prime is 20314043. The reversal of 20314000 is 41302.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 13275 + ... + 14725.

Almost surely, 220314000 is an apocalyptic number.

20314000 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 20314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087488).

20314000 is an abundant number, since it is smaller than the sum of its proper divisors (35860976).

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

20314000 is a wasteful number, since it uses less digits than its factorization.

20314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20314000 is about 4507.1055013168. The cubic root of 20314000 is about 272.8549368639.

Adding to 20314000 its reverse (41302), we get a palindrome (20355302).

The spelling of 20314000 in words is "twenty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1451 1750 2000 2800 2902 3500 5804 7000 7255 10157 11608 14000 14510 20314 23216 29020 36275 40628 50785 58040 72550 81256 101570 116080 145100 162512 181375 203140 253925 290200 362750 406280 507850 580400 725500 812560 1015700 1269625 1451000 2031400 2539250 2902000 4062800 5078500 10157000 20314000