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20276000 = 255337137
BaseRepresentation
bin100110101011…
…0001100100000
31102011010102222
41031112030200
520142313000
62002330212
7334225463
oct115261440
942133388
1020276000
1110499728
126959968
13427bc44
14299b2da
151ba7a85
hex1356320

20276000 has 96 divisors (see below), whose sum is σ = 51538032. Its totient is φ = 7833600.

The previous prime is 20275991. The next prime is 20276023. The reversal of 20276000 is 67202.

It can be written as a sum of positive squares in 8 ways, for example, as 3857296 + 16418704 = 1964^2 + 4052^2 .

It is a super-2 number, since 2×202760002 = 822232352000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20276000.

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, 147932 + ... + 148068.

Almost surely, 220276000 is an apocalyptic number.

20276000 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 20276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769016).

20276000 is an abundant number, since it is smaller than the sum of its proper divisors (31262032).

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

20276000 is a wasteful number, since it uses less digits than its factorization.

20276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 20276000 is about 4502.8879621860. The cubic root of 20276000 is about 272.6846936895.

The spelling of 20276000 in words is "twenty million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 137 148 160 185 200 250 274 296 370 400 500 548 592 685 740 800 925 1000 1096 1184 1370 1480 1850 2000 2192 2740 2960 3425 3700 4000 4384 4625 5069 5480 5920 6850 7400 9250 10138 10960 13700 14800 17125 18500 20276 21920 25345 27400 29600 34250 37000 40552 50690 54800 68500 74000 81104 101380 109600 126725 137000 148000 162208 202760 253450 274000 405520 506900 548000 633625 811040 1013800 1267250 2027600 2534500 4055200 5069000 10138000 20276000