Search a number
-
+
2093819920 = 24547556867
BaseRepresentation
bin111110011001101…
…0010100000010000
312101220220001221221
41330303102200100
513242004214140
6543433454424
7102613114153
oct17463224020
95356801857
102093819920
119849a7995
124a5271414
13274a35bca
1415c11bc9a
15c3c4614a
hex7ccd2810

2093819920 has 40 divisors (see below), whose sum is σ = 4971717504. Its totient is φ = 819706752.

The previous prime is 2093819911. The next prime is 2093819957. The reversal of 2093819920 is 299183902.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 274674 + ... + 282193.

Almost surely, 22093819920 is an apocalyptic number.

2093819920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2093819920 is an abundant number, since it is smaller than the sum of its proper divisors (2877897584).

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

2093819920 is a wasteful number, since it uses less digits than its factorization.

2093819920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556927 (or 556921 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 2093819920 is about 45758.2770654665. The cubic root of 2093819920 is about 1279.3217272349.

The spelling of 2093819920 in words is "two billion, ninety-three million, eight hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 556867 1113734 2227468 2784335 4454936 5568670 8909872 11137340 22274680 26172749 44549360 52345498 104690996 130863745 209381992 261727490 418763984 523454980 1046909960 2093819920