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1106161488 = 24333676977
BaseRepresentation
bin100000111101110…
…1010111101010000
32212002102211022000
41001323222331100
54231134131423
6301432514000
736261134415
oct10173527520
92762384260
101106161488
11518443553
1226a54b900
1314822a333
14a6ca410c
15671a1843
hex41eeaf50

1106161488 has 80 divisors (see below), whose sum is σ = 3184200960. Its totient is φ = 367663104.

The previous prime is 1106161487. The next prime is 1106161493. The reversal of 1106161488 is 8841616011.

1106161488 is a `hidden beast` number, since 1 + 10 + 6 + 161 + 488 = 666.

1106161488 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106161487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155056 + ... + 162032.

It is an arithmetic number, because the mean of its divisors is an integer number (39802512).

Almost surely, 21106161488 is an apocalyptic number.

1106161488 is a gapful number since it is divisible by the number (18) 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 1106161488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592100480).

1106161488 is an abundant number, since it is smaller than the sum of its proper divisors (2078039472).

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

1106161488 is a wasteful number, since it uses less digits than its factorization.

1106161488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7361 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1106161488 is about 33259.0061186440. The cubic root of 1106161488 is about 1034.2039162993.

Adding to 1106161488 its reverse (8841616011), we get a palindrome (9947777499).

The spelling of 1106161488 in words is "one billion, one hundred six million, one hundred sixty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 367 432 734 1101 1468 2202 2936 3303 4404 5872 6606 6977 8808 9909 13212 13954 17616 19818 20931 26424 27908 39636 41862 52848 55816 62793 79272 83724 111632 125586 158544 167448 188379 251172 334896 376758 502344 753516 1004688 1507032 2560559 3014064 5121118 7681677 10242236 15363354 20484472 23045031 30726708 40968944 46090062 61453416 69135093 92180124 122906832 138270186 184360248 276540372 368720496 553080744 1106161488