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11930048 = 261321103
BaseRepresentation
bin101101100000…
…100111000000
3211110002221122
4231200213000
511023230143
61103411412
7203255324
oct55404700
924402848
1011930048
116809249
123bb3b68
132619200
141827984
1510a9c68
hexb609c0

11930048 has 42 divisors (see below), whose sum is σ = 25658064. Its totient is φ = 5501184.

The previous prime is 11930047. The next prime is 11930063. The reversal of 11930048 is 84003911.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 11929999 and 11930026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11930041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10265 + ... + 11367.

Almost surely, 211930048 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 11930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829032).

11930048 is an abundant number, since it is smaller than the sum of its proper divisors (13728016).

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

11930048 is a wasteful number, since it uses less digits than its factorization.

With its successor (11930049) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1141).

11930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 11930048 is about 3453.9901563264. The cubic root of 11930048 is about 228.4971198925.

Adding to 11930048 its reverse (84003911), we get a palindrome (95933959).

The spelling of 11930048 in words is "eleven million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1103 1352 2206 2704 4412 5408 8824 10816 14339 17648 28678 35296 57356 70592 114712 186407 229424 372814 458848 745628 917696 1491256 2982512 5965024 11930048