Search a number
-
+
1050114000 = 243531313463
BaseRepresentation
bin111110100101110…
…111011111010000
32201011222022121010
4332211313133100
54122312122000
6252111330520
735010551565
oct7645673720
92634868533
101050114000
11499842211
12253820a40
13139735440
149d67486c
15622ced50
hex3e9777d0

1050114000 has 160 divisors (see below), whose sum is σ = 3646266624. Its totient is φ = 258470400.

The previous prime is 1050113993. The next prime is 1050114011. The reversal of 1050114000 is 4110501.

It is a happy number.

It is a super-2 number, since 2×10501140002 = 2205478825992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71269 + ... + 84731.

Almost surely, 21050114000 is an apocalyptic number.

1050114000 is a gapful number since it is divisible by the number (10) 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 1050114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823133312).

1050114000 is an abundant number, since it is smaller than the sum of its proper divisors (2596152624).

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

1050114000 is a wasteful number, since it uses less digits than its factorization.

1050114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13502 (or 13486 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1050114000 is about 32405.4625024856. The cubic root of 1050114000 is about 1016.4331393519.

Adding to 1050114000 its reverse (4110501), we get a palindrome (1054224501).

The spelling of 1050114000 in words is "one billion, fifty million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 13463 15600 19500 26000 26926 39000 40389 53852 67315 78000 80778 107704 134630 161556 175019 201945 215408 269260 323112 336575 350038 403890 525057 538520 646224 673150 700076 807780 875095 1009725 1050114 1077040 1346300 1400152 1615560 1682875 1750190 2019450 2100228 2625285 2692600 2800304 3231120 3365750 3500380 4038900 4200456 4375475 5048625 5250570 5385200 6731500 7000760 8077800 8400912 8750950 10097250 10501140 13126425 13463000 14001520 16155600 17501900 20194500 21002280 21877375 26252850 26926000 35003800 40389000 42004560 43754750 52505700 65632125 70007600 80778000 87509500 105011400 131264250 175019000 210022800 262528500 350038000 525057000 1050114000