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10763328 = 26361919
BaseRepresentation
bin101001000011…
…110001000000
3202020211111210
4221003301000
510223411303
61022410120
7160325652
oct51036100
922224453
1010763328
116091714
123730940
1322cb144
1416026d2
15e29203
hexa43c40

10763328 has 56 divisors (see below), whose sum is σ = 28976320. Its totient is φ = 3525120.

The previous prime is 10763327. The next prime is 10763341. The reversal of 10763328 is 82336701.

It is a super-3 number, since 3×107633283 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10763295 and 10763304.

It is not an unprimeable number, because it can be changed into a prime (10763327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11253 + ... + 12171.

Almost surely, 210763328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488160).

10763328 is an abundant number, since it is smaller than the sum of its proper divisors (18212992).

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

10763328 is an equidigital number, since it uses as much as digits as its factorization.

10763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 10763328 is about 3280.7511335059. The cubic root of 10763328 is about 220.7914195363.

The spelling of 10763328 in words is "ten million, seven hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 919 976 1464 1838 1952 2757 2928 3676 3904 5514 5856 7352 11028 11712 14704 22056 29408 44112 56059 58816 88224 112118 168177 176448 224236 336354 448472 672708 896944 1345416 1793888 2690832 3587776 5381664 10763328