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11020896 = 2532172251
BaseRepresentation
bin101010000010…
…101001100000
3202201220211100
4222002221200
510310132041
61032114400
7162450615
oct52025140
922656740
1011020896
116248187
123835a00
13238b453
14166c50c
15e7a6b6
hexa82a60

11020896 has 72 divisors (see below), whose sum is σ = 33198984. Its totient is φ = 3456000.

The previous prime is 11020861. The next prime is 11020921. The reversal of 11020896 is 69802011.

It is a tau number, because it is divible by the number of its divisors (72).

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, 3771 + ... + 6021.

It is an arithmetic number, because the mean of its divisors is an integer number (461097).

Almost surely, 211020896 is an apocalyptic number.

11020896 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 11020896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16599492).

11020896 is an abundant number, since it is smaller than the sum of its proper divisors (22178088).

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

11020896 is a wasteful number, since it uses less digits than its factorization.

11020896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11020896 is about 3319.7734862487. The cubic root of 11020896 is about 222.5387450938.

The spelling of 11020896 in words is "eleven million, twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2251 2448 4502 4896 6753 9004 13506 18008 20259 27012 36016 38267 40518 54024 72032 76534 81036 108048 114801 153068 162072 216096 229602 306136 324144 344403 459204 612272 648288 688806 918408 1224544 1377612 1836816 2755224 3673632 5510448 11020896