Search a number
-
+
1920388428 = 2232743177223
BaseRepresentation
bin111001001110110…
…1100110101001100
311221211112211200100
41302131230311030
512413104412203
6514320331100
765406014040
oct16235546514
94854484610
101920388428
118a6011282
12457173a90
13247b21a1a
14143094020
15b38d8ea3
hex7276cd4c

1920388428 has 72 divisors (see below), whose sum is σ = 5676839168. Its totient is φ = 535919328.

The previous prime is 1920388423. The next prime is 1920388451. The reversal of 1920388428 is 8248830291.

1920388428 is a `hidden beast` number, since 19 + 203 + 8 + 8 + 428 = 666.

It is a super-2 number, since 2×19203884282 = 7375783428792622368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1920388423) 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 23 ways as a sum of consecutive naturals, for example, 77776 + ... + 99447.

Almost surely, 21920388428 is an apocalyptic number.

1920388428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1920388428 is an abundant number, since it is smaller than the sum of its proper divisors (3756450740).

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

1920388428 is a wasteful number, since it uses less digits than its factorization.

1920388428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177283 (or 177278 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1920388428 is about 43822.2366841310. The cubic root of 1920388428 is about 1242.9768117376.

The spelling of 1920388428 in words is "one billion, nine hundred twenty million, three hundred eighty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 177223 354446 531669 708892 1063338 1240561 1595007 2126676 2481122 3190014 3721683 4962244 6380028 7443366 7620589 11165049 14886732 15241178 22330098 22861767 30482356 44660196 45723534 53344123 68585301 91447068 106688246 137170602 160032369 213376492 274341204 320064738 480097107 640129476 960194214 1920388428