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10776740 = 22513181229
BaseRepresentation
bin101001000111…
…000010100100
3202021111220112
4221013002210
510224323430
61022552152
7160413032
oct51070244
922244815
1010776740
1160a07a7
123738658
132304290
141607552
15e2d195
hexa470a4

10776740 has 48 divisors (see below), whose sum is σ = 24613680. Its totient is φ = 3939840.

The previous prime is 10776739. The next prime is 10776751. The reversal of 10776740 is 4767701.

It can be written as a sum of positive squares in 8 ways, for example, as 1240996 + 9535744 = 1114^2 + 3088^2 .

It is a super-2 number, since 2×107767402 = 232276250055200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10776697 and 10776706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46946 + ... + 47174.

It is an arithmetic number, because the mean of its divisors is an integer number (512785).

Almost surely, 210776740 is an apocalyptic number.

10776740 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 10776740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306840).

10776740 is an abundant number, since it is smaller than the sum of its proper divisors (13836940).

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

10776740 is a wasteful number, since it uses less digits than its factorization.

10776740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 10776740 is about 3282.7945412407. The cubic root of 10776740 is about 220.8830896152.

The spelling of 10776740 in words is "ten million, seven hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 229 260 362 458 724 905 916 1145 1810 2290 2353 2977 3620 4580 4706 5954 9412 11765 11908 14885 23530 29770 41449 47060 59540 82898 165796 207245 414490 538837 828980 1077674 2155348 2694185 5388370 10776740