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1100441472 = 27313231547
BaseRepresentation
bin100000110010111…
…0110011110000000
32211200200012220120
41001211312132000
54223203111342
6301110140240
736161412114
oct10145663600
92750605816
101100441472
11515196a69
12268651680
13146ca6900
14a6215744
1566921aec
hex41976780

1100441472 has 192 divisors, whose sum is σ = 3273269760. Its totient is φ = 327075840.

The previous prime is 1100441431. The next prime is 1100441483. The reversal of 1100441472 is 2741440011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2011503 + ... + 2012049.

It is an arithmetic number, because the mean of its divisors is an integer number (17048280).

Almost surely, 21100441472 is an apocalyptic number.

1100441472 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 1100441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636634880).

1100441472 is an abundant number, since it is smaller than the sum of its proper divisors (2172828288).

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

1100441472 is a wasteful number, since it uses less digits than its factorization.

1100441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1100441472 is about 33172.9026767330. The cubic root of 1100441472 is about 1032.4181947941.

Adding to 1100441472 its reverse (2741440011), we get a palindrome (3841881483).

The spelling of 1100441472 in words is "one billion, one hundred million, four hundred forty-one thousand, four hundred seventy-two".