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11496096 = 2532179223
BaseRepresentation
bin101011110110…
…101010100000
3210122001200100
4223312222200
510420333341
61050222400
7166500213
oct53665240
923561610
1011496096
116542207
123a24a00
1324c6831
14175377a
1510213b6
hexaf6aa0

11496096 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3793536.

The previous prime is 11496073. The next prime is 11496101. The reversal of 11496096 is 69069411.

11496096 is a `hidden beast` number, since 1 + 1 + 49 + 609 + 6 = 666.

11496096 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 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 11496096.

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, 51441 + ... + 51663.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 211496096 is an apocalyptic number.

11496096 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 11496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11496096 is an abundant number, since it is smaller than the sum of its proper divisors (21525984).

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

11496096 is a wasteful number, since it uses less digits than its factorization.

11496096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 11496096 is about 3390.5893293055. The cubic root of 11496096 is about 225.6923267793.

The spelling of 11496096 in words is "eleven million, four hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 223 288 358 446 537 669 716 892 1074 1338 1432 1611 1784 2007 2148 2676 2864 3222 3568 4014 4296 5352 5728 6444 7136 8028 8592 10704 12888 16056 17184 21408 25776 32112 39917 51552 64224 79834 119751 159668 239502 319336 359253 479004 638672 718506 958008 1277344 1437012 1916016 2874024 3832032 5748048 11496096