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11919712 = 257127419
BaseRepresentation
bin101101011110…
…000101100000
3211102120202211
4231132011200
511022412322
61103251504
7203213230
oct55360540
924376684
1011919712
116801502
123ba9b94
1326145ac
141823cc0
1510a6b77
hexb5e160

11919712 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 5056128.

The previous prime is 11919709. The next prime is 11919749. The reversal of 11919712 is 21791911.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 28239 + ... + 28657.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 211919712 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 11919712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

11919712 is an abundant number, since it is smaller than the sum of its proper divisors (15175328).

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

11919712 is a wasteful number, since it uses less digits than its factorization.

11919712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its digits is 1134, while the sum is 31.

The square root of 11919712 is about 3452.4935915943. The cubic root of 11919712 is about 228.4311120938.

The spelling of 11919712 in words is "eleven million, nine hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 419 508 838 889 1016 1676 1778 2032 2933 3352 3556 4064 5866 6704 7112 11732 13408 14224 23464 28448 46928 53213 93856 106426 212852 372491 425704 744982 851408 1489964 1702816 2979928 5959856 11919712