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11445696 = 263231641
BaseRepresentation
bin101011101010…
…010111000000
3210112111112200
4223222113000
510412230241
61045153200
7166200243
oct53522700
923474480
1011445696
116508359
1239bb800
1324a9902
14173d25a
1510114b6
hexaea5c0

11445696 has 84 divisors (see below), whose sum is σ = 33918144. Its totient is φ = 3686400.

The previous prime is 11445689. The next prime is 11445737. The reversal of 11445696 is 69654411.

11445696 is a `hidden beast` number, since 114 + 456 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11445696.

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 11 ways as a sum of consecutive naturals, for example, 17536 + ... + 18176.

Almost surely, 211445696 is an apocalyptic number.

11445696 is a gapful number since it is divisible by the number (16) 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 11445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959072).

11445696 is an abundant number, since it is smaller than the sum of its proper divisors (22472448).

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

11445696 is a wasteful number, since it uses less digits than its factorization.

11445696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 11445696 is about 3383.1488291235. The cubic root of 11445696 is about 225.3620245981.

The spelling of 11445696 in words is "eleven million, four hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 641 744 992 1116 1282 1488 1923 1984 2232 2564 2976 3846 4464 5128 5769 5952 7692 8928 10256 11538 15384 17856 19871 20512 23076 30768 39742 41024 46152 59613 61536 79484 92304 119226 123072 158968 178839 184608 238452 317936 357678 369216 476904 635872 715356 953808 1271744 1430712 1907616 2861424 3815232 5722848 11445696