Search a number
-
+
1090431216 = 243271081777
BaseRepresentation
bin100000011111110…
…1010100011110000
32210222211122102100
41000333222203300
54213122244331
6300111420400
736010340520
oct10077524360
92728748370
101090431216
1150a57a126
12265224700
13144bb0494
14a4b6b680
1565ae5ae6
hex40fea8f0

1090431216 has 60 divisors (see below), whose sum is σ = 3487652272. Its totient is φ = 311551488.

The previous prime is 1090431193. The next prime is 1090431217. The reversal of 1090431216 is 6121340901.

1090431216 is a `hidden beast` number, since 10 + 9 + 0 + 431 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1090431216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090431217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539881 + ... + 541896.

Almost surely, 21090431216 is an apocalyptic number.

1090431216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1090431216 is an abundant number, since it is smaller than the sum of its proper divisors (2397221056).

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

1090431216 is a wasteful number, since it uses less digits than its factorization.

1090431216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081798 (or 1081789 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1090431216 is about 33021.6779706907. The cubic root of 1090431216 is about 1029.2781620421.

The spelling of 1090431216 in words is "one billion, ninety million, four hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1081777 2163554 3245331 4327108 6490662 7572439 8654216 9735993 12981324 15144878 17308432 19471986 22717317 25962648 30289756 38943972 45434634 51925296 60579512 68151951 77887944 90869268 121159024 136303902 155775888 181738536 272607804 363477072 545215608 1090431216