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2123070384 = 243235233677
BaseRepresentation
bin111111010001011…
…0111101110110000
312110221221011001110
41332202313232300
513322001223014
6550400433320
7103416541401
oct17642675660
95427834043
102123070384
1199a466226
124b3018840
1327ab07986
14161d739a8
15c65c2d59
hex7e8b7bb0

2123070384 has 80 divisors (see below), whose sum is σ = 5735561472. Its totient is φ = 675442944.

The previous prime is 2123070377. The next prime is 2123070401. The reversal of 2123070384 is 4830703212.

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 15 ways as a sum of consecutive naturals, for example, 575554 + ... + 579230.

Almost surely, 22123070384 is an apocalyptic number.

2123070384 is a gapful number since it is divisible by the number (24) 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 2123070384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867780736).

2123070384 is an abundant number, since it is smaller than the sum of its proper divisors (3612491088).

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

2123070384 is a wasteful number, since it uses less digits than its factorization.

2123070384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2123070384 is about 46076.7879088810. The cubic root of 2123070384 is about 1285.2515334740.

Adding to 2123070384 its reverse (4830703212), we get a palindrome (6953773596).

The spelling of 2123070384 in words is "two billion, one hundred twenty-three million, seventy thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 523 552 1046 1104 1569 2092 3138 3677 4184 6276 7354 8368 11031 12029 12552 14708 22062 24058 25104 29416 36087 44124 48116 58832 72174 84571 88248 96232 144348 169142 176496 192464 253713 288696 338284 507426 577392 676568 1014852 1353136 1923071 2029704 3846142 4059408 5769213 7692284 11538426 15384568 23076852 30769136 44230633 46153704 88461266 92307408 132691899 176922532 265383798 353845064 530767596 707690128 1061535192 2123070384