Search a number
-
+
1138424220 = 22345702731
BaseRepresentation
bin100001111011010…
…1111100110011100
32221100010221110000
41003312233212130
54312414033340
6304544214300
740132306023
oct10366574634
92840127400
101138424220
11534679a6a
1227930a390
13151b151cb
14ab2a18ba
1569e25d30
hex43daf99c

1138424220 has 60 divisors (see below), whose sum is σ = 3571284024. Its totient is φ = 303579360.

The previous prime is 1138424213. The next prime is 1138424233. The reversal of 1138424220 is 224248311.

1138424220 is a `hidden beast` number, since 1 + 13 + 8 + 424 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 349746 + ... + 352985.

Almost surely, 21138424220 is an apocalyptic number.

1138424220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138424220 is an abundant number, since it is smaller than the sum of its proper divisors (2432859804).

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

1138424220 is a wasteful number, since it uses less digits than its factorization.

1138424220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702752 (or 702741 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1138424220 is about 33740.5426749482. The cubic root of 1138424220 is about 1044.1623806085.

The spelling of 1138424220 in words is "one billion, one hundred thirty-eight million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 702731 1405462 2108193 2810924 3513655 4216386 6324579 7027310 8432772 10540965 12649158 14054620 18973737 21081930 25298316 31622895 37947474 42163860 56921211 63245790 75894948 94868685 113842422 126491580 189737370 227684844 284606055 379474740 569212110 1138424220