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11320496 = 2411131491
BaseRepresentation
bin101011001011…
…110010110000
3210022010210122
4223023302300
510344223441
61042345412
7165136235
oct53136260
923263718
1011320496
116432290
12395b268
132464925
14170978c
15ed934b
hexacbcb0

11320496 has 40 divisors (see below), whose sum is σ = 24159168. Its totient is φ = 5096000.

The previous prime is 11320489. The next prime is 11320511. The reversal of 11320496 is 69402311.

11320496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22811 + ... + 23301.

Almost surely, 211320496 is an apocalyptic number.

11320496 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 11320496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079584).

11320496 is an abundant number, since it is smaller than the sum of its proper divisors (12838672).

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

11320496 is a wasteful number, since it uses less digits than its factorization.

11320496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 11320496 is about 3364.5944777937. The cubic root of 11320496 is about 224.5372943798.

The spelling of 11320496 in words is "eleven million, three hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 491 524 982 1048 1441 1964 2096 2882 3928 5401 5764 7856 10802 11528 21604 23056 43208 64321 86416 128642 257284 514568 707531 1029136 1415062 2830124 5660248 11320496