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514000000 = 2756257
BaseRepresentation
bin11110101000110…
…000010010000000
31022211011220110001
4132220300102000
52023041000000
6123000445344
715510633163
oct3650602200
91284156401
10514000000
11244159898
12124179854
1382647517
144c39bada
15301d146a
hex1ea30480

514000000 has 112 divisors (see below), whose sum is σ = 1284944490. Its totient is φ = 204800000.

The previous prime is 513999979. The next prime is 514000001. The reversal of 514000000 is 415.

It can be written as a sum of positive squares in 7 ways, for example, as 113039424 + 400960576 = 10632^2 + 20024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999872 + ... + 2000128.

Almost surely, 2514000000 is an apocalyptic number.

514000000 is a gapful number since it is divisible by the number (50) 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 514000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642472245).

514000000 is an abundant number, since it is smaller than the sum of its proper divisors (770944490).

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

514000000 is an frugal number, since it uses more digits than its factorization.

514000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 514000000 is about 22671.5680975093. The cubic root of 514000000 is about 801.0403132657.

Adding to 514000000 its reverse (415), we get a palindrome (514000415).

The spelling of 514000000 in words is "five hundred fourteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 257 320 400 500 514 625 640 800 1000 1028 1250 1285 1600 2000 2056 2500 2570 3125 3200 4000 4112 5000 5140 6250 6425 8000 8224 10000 10280 12500 12850 15625 16000 16448 20000 20560 25000 25700 31250 32125 32896 40000 41120 50000 51400 62500 64250 80000 82240 100000 102800 125000 128500 160625 164480 200000 205600 250000 257000 321250 400000 411200 500000 514000 642500 803125 822400 1000000 1028000 1285000 1606250 2000000 2056000 2570000 3212500 4015625 4112000 5140000 6425000 8031250 10280000 12850000 16062500 20560000 25700000 32125000 51400000 64250000 102800000 128500000 257000000 514000000