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10787040 = 2533511227
BaseRepresentation
bin101001001001…
…100011100000
3202022001001000
4221021203200
510230141130
61023112000
7160455045
oct51114340
922261030
1010787040
1160a8510
123742600
132308b84
14160b1cc
15e31260
hexa498e0

10787040 has 192 divisors, whose sum is σ = 41368320. Its totient is φ = 2603520.

The previous prime is 10787009. The next prime is 10787047. The reversal of 10787040 is 4078701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10786995 and 10787013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10787047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47407 + ... + 47633.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 210787040 is an apocalyptic number.

10787040 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 10787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

10787040 is an abundant number, since it is smaller than the sum of its proper divisors (30581280).

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

10787040 is a wasteful number, since it uses less digits than its factorization.

10787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10787040 is about 3284.3629519284. The cubic root of 10787040 is about 220.9534377722.

It can be divided in two parts, 1078 and 7040, that added together give a palindrome (8118).

The spelling of 10787040 in words is "ten million, seven hundred eighty-seven thousand, forty".