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1105414432 = 25471076869
BaseRepresentation
bin100000111100011…
…0100100100100000
32212001000212112021
41001320310210200
54230441230212
6301404511224
736251603413
oct10170644440
92761025467
101105414432
11517a83251
1226a24b514
131480282a5
14a6b4bb7a
15670a5307
hex41e34920

1105414432 has 48 divisors (see below), whose sum is σ = 2243687040. Its totient is φ = 535813888.

The previous prime is 1105414423. The next prime is 1105414439. The reversal of 1105414432 is 2344145011.

It is a junction number, because it is equal to n+sod(n) for n = 1105414397 and 1105414406.

It is not an unprimeable number, because it can be changed into a prime (1105414439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157494 + ... + 164362.

It is an arithmetic number, because the mean of its divisors is an integer number (46743480).

Almost surely, 21105414432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121843520).

1105414432 is an abundant number, since it is smaller than the sum of its proper divisors (1138272608).

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

1105414432 is a wasteful number, since it uses less digits than its factorization.

1105414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1105414432 is about 33247.7733389772. The cubic root of 1105414432 is about 1033.9710442627.

Adding to 1105414432 its reverse (2344145011), we get a palindrome (3449559443).

The spelling of 1105414432 in words is "one billion, one hundred five million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 94 107 188 214 376 428 752 856 1504 1712 3424 5029 6869 10058 13738 20116 27476 40232 54952 80464 109904 160928 219808 322843 645686 734983 1291372 1469966 2582744 2939932 5165488 5879864 10330976 11759728 23519456 34544201 69088402 138176804 276353608 552707216 1105414432