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11301696 = 263272803
BaseRepresentation
bin101011000111…
…001101000000
3210021012000100
4223013031000
510343123241
61042122400
7165030360
oct53071500
923235010
1011301696
11641a14a
123950400
1324591c3
1417029a0
15ed39b6
hexac7340

11301696 has 84 divisors (see below), whose sum is σ = 37035232. Its totient is φ = 3227904.

The previous prime is 11301683. The next prime is 11301707. The reversal of 11301696 is 69610311.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2631 + ... + 5433.

Almost surely, 211301696 is an apocalyptic number.

11301696 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 11301696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517616).

11301696 is an abundant number, since it is smaller than the sum of its proper divisors (25733536).

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

11301696 is a wasteful number, since it uses less digits than its factorization.

11301696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11301696 is about 3361.7995181153. The cubic root of 11301696 is about 224.4129288022.

The spelling of 11301696 in words is "eleven million, three hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 2803 4032 5606 8409 11212 16818 19621 22424 25227 33636 39242 44848 50454 58863 67272 78484 89696 100908 117726 134544 156968 176589 179392 201816 235452 269088 313936 353178 403632 470904 538176 627872 706356 807264 941808 1255744 1412712 1614528 1883616 2825424 3767232 5650848 11301696