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11305896 = 2337173389
BaseRepresentation
bin101011001000…
…001110101000
3210021101202220
4223020032220
510343242041
61042154040
7165045540
oct53101650
923241686
1011305896
116422318
123952920
13245b0a4
141704320
15ed4d66
hexac83a8

11305896 has 64 divisors (see below), whose sum is σ = 32572800. Its totient is φ = 3203328.

The previous prime is 11305891. The next prime is 11305909. The reversal of 11305896 is 69850311.

It is not an unprimeable number, because it can be changed into a prime (11305891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28870 + ... + 29258.

It is an arithmetic number, because the mean of its divisors is an integer number (508950).

Almost surely, 211305896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11305896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286400).

11305896 is an abundant number, since it is smaller than the sum of its proper divisors (21266904).

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

11305896 is a wasteful number, since it uses less digits than its factorization.

11305896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 11305896 is about 3362.4241255380. The cubic root of 11305896 is about 224.4407245587.

The spelling of 11305896 in words is "eleven million, three hundred five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 389 519 692 778 1038 1167 1211 1384 1556 2076 2334 2422 2723 3112 3633 4152 4668 4844 5446 7266 8169 9336 9688 10892 14532 16338 21784 29064 32676 65352 67297 134594 201891 269188 403782 471079 538376 807564 942158 1413237 1615128 1884316 2826474 3768632 5652948 11305896