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1106742852 = 22345036791
BaseRepresentation
bin100000111110111…
…1000111001000100
32212010112100210000
41001331320321010
54231311232402
6301453201300
736266105355
oct10175707104
92763470700
101106742852
11518800316
1226a790230
131483a1b37
14a6db5d2c
1567268c1c
hex41f78e44

1106742852 has 60 divisors (see below), whose sum is σ = 2899423296. Its totient is φ = 368126640.

The previous prime is 1106742851. The next prime is 1106742877. The reversal of 1106742852 is 2582476011.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1106742851) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159577 + ... + 166367.

Almost surely, 21106742852 is an apocalyptic number.

1106742852 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 1106742852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449711648).

1106742852 is an abundant number, since it is smaller than the sum of its proper divisors (1792680444).

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

1106742852 is a wasteful number, since it uses less digits than its factorization.

1106742852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1106742852 is about 33267.7449190654. The cubic root of 1106742852 is about 1034.3850663484.

It can be divided in two parts, 110674 and 2852, that added together give a triangular number (113526 = T476).

The spelling of 1106742852 in words is "one billion, one hundred six million, seven hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 503 1006 1509 2012 3018 4527 6036 6791 9054 13581 13582 18108 20373 27162 27164 40743 40746 54324 61119 81486 81492 122238 162972 183357 244476 366714 550071 733428 1100142 2200284 3415873 6831746 10247619 13663492 20495238 30742857 40990476 61485714 92228571 122971428 184457142 276685713 368914284 553371426 1106742852