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10794528 = 2532371013
BaseRepresentation
bin101001001011…
…011000100000
3202022102022100
4221023120200
510230411103
61023210400
7160515633
oct51133040
922272270
1010794528
1161030a8
123746a00
13230c3c4
14160dc1a
15e335a3
hexa4b620

10794528 has 72 divisors (see below), whose sum is σ = 31557708. Its totient is φ = 3497472.

The previous prime is 10794523. The next prime is 10794529. The reversal of 10794528 is 82549701.

It can be written as a sum of positive squares in 2 ways, for example, as 10575504 + 219024 = 3252^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10794492 and 10794501.

It is not an unprimeable number, because it can be changed into a prime (10794523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10150 + ... + 11162.

Almost surely, 210794528 is an apocalyptic number.

10794528 is a gapful number since it is divisible by the number (18) 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 10794528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15778854).

10794528 is an abundant number, since it is smaller than the sum of its proper divisors (20763180).

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

10794528 is a wasteful number, since it uses less digits than its factorization.

10794528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10794528 is about 3285.5027012620. The cubic root of 10794528 is about 221.0045520926.

The spelling of 10794528 in words is "ten million, seven hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1013 1184 1332 1776 2026 2664 3039 3552 4052 5328 6078 8104 9117 10656 12156 16208 18234 24312 32416 36468 37481 48624 72936 74962 97248 112443 145872 149924 224886 291744 299848 337329 449772 599696 674658 899544 1199392 1349316 1799088 2698632 3598176 5397264 10794528