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1110142368 = 25337118097
BaseRepresentation
bin100001000101011…
…0110110110100000
32212100221002001000
41002022312312200
54233144023433
6302054112000
736340024446
oct10212666640
92770832030
101110142368
1151a712435
1226b94b600
13148cc229a
14a761cb96
15676db113
hex422b6da0

1110142368 has 96 divisors (see below), whose sum is σ = 3283701120. Its totient is φ = 364815360.

The previous prime is 1110142361. The next prime is 1110142379. The reversal of 1110142368 is 8632410111.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (1110142361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52296 + ... + 70392.

It is an arithmetic number, because the mean of its divisors is an integer number (34205220).

Almost surely, 21110142368 is an apocalyptic number.

1110142368 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 1110142368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641850560).

1110142368 is an abundant number, since it is smaller than the sum of its proper divisors (2173558752).

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

1110142368 is a wasteful number, since it uses less digits than its factorization.

1110142368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18187 (or 18173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1110142368 is about 33318.7990179718. The cubic root of 1110142368 is about 1035.4430701197.

Adding to 1110142368 its reverse (8632410111), we get a palindrome (9742552479).

The spelling of 1110142368 in words is "one billion, one hundred ten million, one hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 18097 20448 30672 36194 54291 61344 72388 108582 144776 162873 217164 289552 325746 434328 488619 579104 651492 868656 977238 1284887 1302984 1737312 1954476 2569774 2605968 3854661 3908952 5139548 5211936 7709322 7817904 10279096 11563983 15418644 15635808 20558192 23127966 30837288 34691949 41116384 46255932 61674576 69383898 92511864 123349152 138767796 185023728 277535592 370047456 555071184 1110142368