Search a number
-
+
1200020000 = 2554292069
BaseRepresentation
bin100011110000110…
…1101101000100000
310002122001022222012
41013201231220200
54424201120000
6315024332052
741511000404
oct10741555040
93078038865
101200020000
1156641a873
12295a74028
1316180060a
14b5537104
1570541735
hex4786da20

1200020000 has 120 divisors (see below), whose sum is σ = 3055506300. Its totient is φ = 463232000.

The previous prime is 1200019979. The next prime is 1200020023. The reversal of 1200020000 is 200021.

It can be written as a sum of positive squares in 10 ways, for example, as 237283216 + 962736784 = 15404^2 + 31028^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 578966 + ... + 581034.

Almost surely, 21200020000 is an apocalyptic number.

1200020000 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 1200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527753150).

1200020000 is an abundant number, since it is smaller than the sum of its proper divisors (1855486300).

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

1200020000 is an equidigital number, since it uses as much as digits as its factorization.

1200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1200020000 is about 34641.3048253093. The cubic root of 1200020000 is about 1062.6644728085.

Adding to 1200020000 its reverse (200021), we get a palindrome (1200220021).

The spelling of 1200020000 in words is "one billion, two hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2069 2320 2500 2900 3625 4000 4138 4640 5000 5800 7250 8276 10000 10345 11600 14500 16552 18125 20000 20690 23200 29000 33104 36250 41380 51725 58000 60001 66208 72500 82760 103450 116000 120002 145000 165520 206900 240004 258625 290000 300005 331040 413800 480008 517250 580000 600010 827600 960016 1034500 1200020 1293125 1500025 1655200 1920032 2069000 2400040 2586250 3000050 4138000 4800080 5172500 6000100 7500125 8276000 9600160 10345000 12000200 15000250 20690000 24000400 30000500 37500625 41380000 48000800 60001000 75001250 120002000 150002500 240004000 300005000 600010000 1200020000