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10711380 = 22351671069
BaseRepresentation
bin101000110111…
…000101010100
3202011012020210
4220313011110
510220231010
61021325420
7160021341
oct50670524
922135223
1010711380
116056689
123706870
1322b05c4
1415cb7c8
15e18b20
hexa37154

10711380 has 48 divisors (see below), whose sum is σ = 30199680. Its totient is φ = 2836608.

The previous prime is 10711369. The next prime is 10711387. The reversal of 10711380 is 8311701.

It is a super-2 number, since 2×107113802 = 229467323008800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10711387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9486 + ... + 10554.

It is an arithmetic number, because the mean of its divisors is an integer number (629160).

Almost surely, 210711380 is an apocalyptic number.

10711380 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 10711380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099840).

10711380 is an abundant number, since it is smaller than the sum of its proper divisors (19488300).

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

10711380 is a wasteful number, since it uses less digits than its factorization.

10711380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 10711380 is about 3272.8244682537. The cubic root of 10711380 is about 220.4356381689.

The spelling of 10711380 in words is "ten million, seven hundred eleven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1069 1670 2004 2138 2505 3207 3340 4276 5010 5345 6414 10020 10690 12828 16035 21380 32070 64140 178523 357046 535569 714092 892615 1071138 1785230 2142276 2677845 3570460 5355690 10711380