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11491872 = 25373349
BaseRepresentation
bin101011110101…
…101000100000
3210121211212220
4223311220200
510420214442
61050151040
7166452000
oct53655040
923554786
1011491872
11653a017
123a22480
1324c4932
141752000
15101eeec
hexaf5a20

11491872 has 96 divisors (see below), whose sum is σ = 35280000. Its totient is φ = 3273984.

The previous prime is 11491853. The next prime is 11491873. The reversal of 11491872 is 27819411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11491873) 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 15 ways as a sum of consecutive naturals, for example, 32754 + ... + 33102.

It is an arithmetic number, because the mean of its divisors is an integer number (367500).

Almost surely, 211491872 is an apocalyptic number.

11491872 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 11491872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640000).

11491872 is an abundant number, since it is smaller than the sum of its proper divisors (23788128).

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

11491872 is an equidigital number, since it uses as much as digits as its factorization.

11491872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 11491872 is about 3389.9663715146. The cubic root of 11491872 is about 225.6646814183.

The spelling of 11491872 in words is "eleven million, four hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 349 392 588 672 686 698 784 1029 1047 1176 1372 1396 1568 2058 2094 2352 2443 2744 2792 4116 4188 4704 4886 5488 5584 7329 8232 8376 9772 10976 11168 14658 16464 16752 17101 19544 29316 32928 33504 34202 39088 51303 58632 68404 78176 102606 117264 119707 136808 205212 234528 239414 273616 359121 410424 478828 547232 718242 820848 957656 1436484 1641696 1915312 2872968 3830624 5745936 11491872