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1140850688 = 22617
BaseRepresentation
bin100010000000000…
…0000000000000000
32221111201012221012
41010000000000000
54314024210223
6305112220052
740162033205
oct10400000000
92844635835
101140850688
11535a8700a
1227a09a628
131524847a3
14ab733cac
156a254c78
hex44000000

1140850688 has 54 divisors (see below), whose sum is σ = 2415919086. Its totient is φ = 536870912.

The previous prime is 1140850681. The next prime is 1140850699. The reversal of 1140850688 is 8860580411.

It can be written as a sum of positive squares in only one way, i.e., 1073741824 + 67108864 = 32768^2 + 8192^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1140850681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 1140850688 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67108856 + ... + 67108872.

Almost surely, 21140850688 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 1140850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207959543).

1140850688 is an abundant number, since it is smaller than the sum of its proper divisors (1275068398).

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

1140850688 is an frugal number, since it uses more digits than its factorization.

1140850688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 1140850688 is about 33776.4812850599. The cubic root of 1140850688 is about 1044.9037060908.

The spelling of 1140850688 in words is "one billion, one hundred forty million, eight hundred fifty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8192 8704 16384 17408 32768 34816 65536 69632 131072 139264 262144 278528 524288 557056 1048576 1114112 2097152 2228224 4194304 4456448 8388608 8912896 16777216 17825792 33554432 35651584 67108864 71303168 142606336 285212672 570425344 1140850688