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1106642010 = 235236192591
BaseRepresentation
bin100000111110110…
…0000010001011010
32212010100020110010
41001331200101122
54231300021020
6301451102350
736265205355
oct10175402132
92763306403
101106642010
11518741581
1226a7419b6
13148367c76
14a6d8b29c
1567248de0
hex41f6045a

1106642010 has 64 divisors (see below), whose sum is σ = 2776965120. Its totient is φ = 281709120.

The previous prime is 1106642003. The next prime is 1106642051. The reversal of 1106642010 is 102466011.

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 31 ways as a sum of consecutive naturals, for example, 425815 + ... + 428405.

It is an arithmetic number, because the mean of its divisors is an integer number (43390080).

Almost surely, 21106642010 is an apocalyptic number.

1106642010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106642010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388482560).

1106642010 is an abundant number, since it is smaller than the sum of its proper divisors (1670323110).

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

1106642010 is a wasteful number, since it uses less digits than its factorization.

1106642010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1106642010 is about 33266.2292723416. The cubic root of 1106642010 is about 1034.3536490453.

The spelling of 1106642010 in words is "one billion, one hundred six million, six hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 619 690 1238 1857 2591 3095 3714 5182 6190 7773 9285 12955 14237 15546 18570 25910 28474 38865 42711 59593 71185 77730 85422 119186 142370 178779 213555 297965 357558 427110 595930 893895 1603829 1787790 3207658 4811487 8019145 9622974 16038290 24057435 36888067 48114870 73776134 110664201 184440335 221328402 368880670 553321005 1106642010