Search a number
-
+
2069604000 = 25335319163
BaseRepresentation
bin111101101011011…
…1010011010100000
312100020022202222000
41323112322122200
513214304312000
6541210444000
7102200225622
oct17326723240
95306282860
102069604000
11972268132
12499133600
1326ca07869
14158c16c12
15c1a61000
hex7b5ba6a0

2069604000 has 192 divisors, whose sum is σ = 7533751680. Its totient is φ = 551865600.

The previous prime is 2069603959. The next prime is 2069604007. The reversal of 2069604000 is 4069602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2069604007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98419 + ... + 117581.

It is an arithmetic number, because the mean of its divisors is an integer number (39238290).

Almost surely, 22069604000 is an apocalyptic number.

2069604000 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 2069604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766875840).

2069604000 is an abundant number, since it is smaller than the sum of its proper divisors (5464147680).

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

2069604000 is a wasteful number, since it uses less digits than its factorization.

2069604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19197 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2069604000 is about 45492.9005450301. The cubic root of 2069604000 is about 1274.3706236290.

The spelling of 2069604000 in words is "two billion, sixty-nine million, six hundred four thousand".