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11490912 = 2532172347
BaseRepresentation
bin101011110101…
…011001100000
3210121210120100
4223311121200
510420202122
61050142400
7166446126
oct53653140
923553510
1011490912
116539324
123a21a00
1324c4374
141751916
15101eaac
hexaf5660

11490912 has 72 divisors (see below), whose sum is σ = 34614216. Its totient is φ = 3603456.

The previous prime is 11490887. The next prime is 11490917. The reversal of 11490912 is 21909411.

11490912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11490917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3723 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (480753).

Almost surely, 211490912 is an apocalyptic number.

11490912 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 11490912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307108).

11490912 is an abundant number, since it is smaller than the sum of its proper divisors (23123304).

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

11490912 is a wasteful number, since it uses less digits than its factorization.

11490912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11490912 is about 3389.8247742324. The cubic root of 11490912 is about 225.6583974370.

It can be divided in two parts, 114909 and 12, that added together give a square (114921 = 3392).

The spelling of 11490912 in words is "eleven million, four hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2347 2448 4694 4896 7041 9388 14082 18776 21123 28164 37552 39899 42246 56328 75104 79798 84492 112656 119697 159596 168984 225312 239394 319192 337968 359091 478788 638384 675936 718182 957576 1276768 1436364 1915152 2872728 3830304 5745456 11490912