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11807040 = 263572251
BaseRepresentation
bin101101000010…
…100101000000
3211012212012210
4231002211000
511010311130
61101022120
7202233600
oct55024500
924185183
1011807040
116734893
123b54940
1325a521b
1417d4c00
1510835b0
hexb42940

11807040 has 168 divisors, whose sum is σ = 43781472. Its totient is φ = 2688000.

The previous prime is 11807039. The next prime is 11807041. The reversal of 11807040 is 4070811.

It is an interprime number because it is at equal distance from previous prime (11807039) and next prime (11807041).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11806998 and 11807016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11807041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46915 + ... + 47165.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 211807040 is an apocalyptic number.

11807040 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 11807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890736).

11807040 is an abundant number, since it is smaller than the sum of its proper divisors (31974432).

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

11807040 is a wasteful number, since it uses less digits than its factorization.

11807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 11807040 is about 3436.1373662879. The cubic root of 11807040 is about 227.7090780103.

Adding to 11807040 its reverse (4070811), we get a palindrome (15877851).

The spelling of 11807040 in words is "eleven million, eight hundred seven thousand, forty".