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11020672 = 271337179
BaseRepresentation
bin101010000010…
…100110000000
3202201220112001
4222002212000
510310130142
61032113344
7162450145
oct52024600
922656461
1011020672
116247aa3
123835854
13238b310
14166c3cc
15e7a5b7
hexa82980

11020672 has 64 divisors (see below), whose sum is σ = 24418800. Its totient is φ = 4921344.

The previous prime is 11020651. The next prime is 11020693. The reversal of 11020672 is 27602011.

It is an interprime number because it is at equal distance from previous prime (11020651) and next prime (11020693).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×110206722 = 242910422663168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61479 + ... + 61657.

Almost surely, 211020672 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 11020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209400).

11020672 is an abundant number, since it is smaller than the sum of its proper divisors (13398128).

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

11020672 is a wasteful number, since it uses less digits than its factorization.

11020672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11020672 is about 3319.7397488357. The cubic root of 11020672 is about 222.5372373817.

Adding to 11020672 its reverse (27602011), we get a palindrome (38622683).

The spelling of 11020672 in words is "eleven million, twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 179 208 296 358 416 481 592 716 832 962 1184 1432 1664 1924 2327 2368 2864 3848 4654 4736 5728 6623 7696 9308 11456 13246 15392 18616 22912 26492 30784 37232 52984 61568 74464 86099 105968 148928 172198 211936 297856 344396 423872 688792 847744 1377584 2755168 5510336 11020672