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10730944 = 267171409
BaseRepresentation
bin101000111011…
…110111000000
3202012012002101
4220323313000
510221342234
61022000144
7160132360
oct50736700
922165071
1010730944
11606a354
123716054
1322b9493
1415d49a0
15e1e814
hexa3bdc0

10730944 has 56 divisors (see below), whose sum is σ = 25786080. Its totient is φ = 4325376.

The previous prime is 10730917. The next prime is 10730959. The reversal of 10730944 is 44903701.

10730944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×107309442 = 230306318262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6912 + ... + 8320.

Almost surely, 210730944 is an apocalyptic number.

10730944 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 10730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893040).

10730944 is an abundant number, since it is smaller than the sum of its proper divisors (15055136).

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

10730944 is a wasteful number, since it uses less digits than its factorization.

10730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 10730944 is about 3275.8119604153. The cubic root of 10730944 is about 220.5697628062.

The spelling of 10730944 in words is "ten million, seven hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1409 1904 2818 3808 5636 7616 9863 11272 19726 22544 23953 39452 45088 47906 78904 90176 95812 157808 167671 191624 315616 335342 383248 631232 670684 766496 1341368 1532992 2682736 5365472 10730944