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11868928 = 2871653
BaseRepresentation
bin101101010001…
…101100000000
3211100000002221
4231101230000
511014301203
61102220424
7202612201
oct55215400
924300087
1011868928
116777335
123b84714
1325c7446
14180d5a8
151096abd
hexb51b00

11868928 has 36 divisors (see below), whose sum is σ = 24061968. Its totient is φ = 5841920.

The previous prime is 11868911. The next prime is 11868929. The reversal of 11868928 is 82986811.

It is not an unprimeable number, because it can be changed into a prime (11868929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17850 + ... + 18502.

It is an arithmetic number, because the mean of its divisors is an integer number (668388).

Almost surely, 211868928 is an apocalyptic number.

11868928 is the 1842-nd centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030984).

11868928 is an abundant number, since it is smaller than the sum of its proper divisors (12193040).

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

11868928 is an frugal number, since it uses more digits than its factorization.

11868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 726 counting only the distinct ones).

The product of its digits is 55296, while the sum is 43.

The square root of 11868928 is about 3445.1310570137. The cubic root of 11868928 is about 228.1062396032.

The spelling of 11868928 in words is "eleven million, eight hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 653 1136 1306 2272 2612 4544 5224 9088 10448 18176 20896 41792 46363 83584 92726 167168 185452 370904 741808 1483616 2967232 5934464 11868928