Search a number
-
+
11140992 = 273219509
BaseRepresentation
bin101010011111…
…111110000000
3202222000120100
4222133332000
510323002432
61034442400
7163461012
oct52377600
922860510
1011140992
11631a435
123893400
132401005
1416a01b2
15ea107c
hexa9ff80

11140992 has 96 divisors (see below), whose sum is σ = 33813000. Its totient is φ = 3511296.

The previous prime is 11140957. The next prime is 11141003. The reversal of 11140992 is 29904111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 21634 + ... + 22142.

Almost surely, 211140992 is an apocalyptic number.

11140992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906500).

11140992 is an abundant number, since it is smaller than the sum of its proper divisors (22672008).

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

11140992 is a wasteful number, since it uses less digits than its factorization.

11140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11140992 is about 3337.8124572840. The cubic root of 11140992 is about 223.3441701630.

The spelling of 11140992 in words is "eleven million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 509 576 608 684 912 1018 1152 1216 1368 1527 1824 2036 2432 2736 3054 3648 4072 4581 5472 6108 7296 8144 9162 9671 10944 12216 16288 18324 19342 21888 24432 29013 32576 36648 38684 48864 58026 65152 73296 77368 87039 97728 116052 146592 154736 174078 195456 232104 293184 309472 348156 464208 586368 618944 696312 928416 1237888 1392624 1856832 2785248 3713664 5570496 11140992