Search a number
-
+
1920186112 = 2813244383
BaseRepresentation
bin111001001110011…
…1011011100000000
311221211011120011011
41302130323130000
512413031423422
6514312130304
765404212145
oct16234733400
94854146134
101920186112
118a5993279
12457096994
13247a80900
141430403cc
15b3899077
hex7273b700

1920186112 has 54 divisors (see below), whose sum is σ = 4150480992. Its totient is φ = 886219776.

The previous prime is 1920186067. The next prime is 1920186127. The reversal of 1920186112 is 2116810291.

It is a happy number.

It is a super-2 number, since 2×19201861122 = 7374229409435353088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21073 + ... + 65455.

Almost surely, 21920186112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075240496).

1920186112 is an abundant number, since it is smaller than the sum of its proper divisors (2230294880).

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

1920186112 is an equidigital number, since it uses as much as digits as its factorization.

1920186112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44425 (or 44398 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 1920186112 is about 43819.9282518810. The cubic root of 1920186112 is about 1242.9331603379.

The spelling of 1920186112 in words is "one billion, nine hundred twenty million, one hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 21632 43264 44383 88766 177532 355064 576979 710128 1153958 1420256 2307916 2840512 4615832 5681024 7500727 9231664 11362048 15001454 18463328 30002908 36926656 60005816 73853312 120011632 147706624 240023264 480046528 960093056 1920186112