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1107092224 = 2871736341
BaseRepresentation
bin100000111111100…
…1110001100000000
32212011012010000201
41001333032030000
54231403422344
6301504454544
736302062060
oct10177161400
92764163021
101107092224
11518a19857
1226a91a454
13148494b74
14a70673a0
15672d74d4
hex41fce300

1107092224 has 72 divisors (see below), whose sum is σ = 2674189728. Its totient is φ = 446545920.

The previous prime is 1107092213. The next prime is 1107092227. The reversal of 1107092224 is 4222907011.

It is a super-3 number, since 3×11070922243 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1107092192 and 1107092201.

It is not an unprimeable number, because it can be changed into a prime (1107092227) 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 7 ways as a sum of consecutive naturals, for example, 12294 + ... + 48634.

It is an arithmetic number, because the mean of its divisors is an integer number (37141524).

Almost surely, 21107092224 is an apocalyptic number.

1107092224 is a gapful number since it is divisible by the number (14) 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 1107092224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337094864).

1107092224 is an abundant number, since it is smaller than the sum of its proper divisors (1567097504).

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

1107092224 is an equidigital number, since it uses as much as digits as its factorization.

1107092224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36381 (or 36367 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1107092224 is about 33272.9954167039. The cubic root of 1107092224 is about 1034.4938983620.

Adding to 1107092224 its reverse (4222907011), we get a palindrome (5329999235).

The spelling of 1107092224 in words is "one billion, one hundred seven million, ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 30464 36341 72682 145364 254387 290728 508774 581456 617797 1017548 1162912 1235594 2035096 2325824 2471188 4070192 4324579 4651648 4942376 8140384 8649158 9303296 9884752 16280768 17298316 19769504 32561536 34596632 39539008 65123072 69193264 79078016 138386528 158156032 276773056 553546112 1107092224