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11136880 = 245731907
BaseRepresentation
bin101010011110…
…111101110000
3202221210221001
4222132331300
510322340010
61034411344
7163443016
oct52367560
922853831
1011136880
116317337
123890b54
1323cc191
14169c8b6
15e9ec3a
hexa9ef70

11136880 has 40 divisors (see below), whose sum is σ = 26261712. Its totient is φ = 4391424.

The previous prime is 11136877. The next prime is 11136883. The reversal of 11136880 is 8863111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11136877) and next prime (11136883).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×111368802 = 248060192268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11136883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4887 + ... + 6793.

Almost surely, 211136880 is an apocalyptic number.

11136880 is a gapful number since it is divisible by the number (10) 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 11136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130856).

11136880 is an abundant number, since it is smaller than the sum of its proper divisors (15124832).

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

11136880 is a wasteful number, since it uses less digits than its factorization.

11136880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 11136880 is about 3337.1964281414. The cubic root of 11136880 is about 223.3166889405.

Adding to 11136880 its reverse (8863111), we get a palindrome (19999991).

The spelling of 11136880 in words is "eleven million, one hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 1907 2920 3814 5840 7628 9535 15256 19070 30512 38140 76280 139211 152560 278422 556844 696055 1113688 1392110 2227376 2784220 5568440 11136880