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10861144 = 2372103269
BaseRepresentation
bin101001011011…
…101001011000
3202102210200121
4221123221120
510240024034
61024443024
7161214100
oct51335130
922383617
1010861144
116149158
123779474
132333818
14162a200
15e481b4
hexa5ba58

10861144 has 48 divisors (see below), whose sum is σ = 24008400. Its totient is φ = 4592448.

The previous prime is 10861139. The next prime is 10861163. The reversal of 10861144 is 44116801.

10861144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40242 + ... + 40510.

It is an arithmetic number, because the mean of its divisors is an integer number (500175).

Almost surely, 210861144 is an apocalyptic number.

10861144 is a gapful number since it is divisible by the number (14) 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 10861144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004200).

10861144 is an abundant number, since it is smaller than the sum of its proper divisors (13147256).

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

10861144 is a wasteful number, since it uses less digits than its factorization.

10861144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10861144 is about 3295.6249786649. The cubic root of 10861144 is about 221.4582466942.

Adding to 10861144 its reverse (44116801), we get a palindrome (54977945).

The spelling of 10861144 in words is "ten million, eight hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 269 392 412 538 721 824 1076 1442 1883 2152 2884 3766 5047 5768 7532 10094 13181 15064 20188 26362 27707 40376 52724 55414 105448 110828 193949 221656 387898 775796 1357643 1551592 2715286 5430572 10861144