Search a number
-
+
10954528 = 2513171549
BaseRepresentation
bin101001110010…
…011100100000
3202121112210021
4221302130200
510301021103
61030443224
7162053254
oct51623440
922545707
1010954528
116202332
123803514
132367190
141652264
15e65bbd
hexa72720

10954528 has 48 divisors (see below), whose sum is σ = 24607800. Its totient is φ = 4755456.

The previous prime is 10954523. The next prime is 10954543. The reversal of 10954528 is 82545901.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 2729104 = 2868^2 + 1652^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 10954493 and 10954502.

It is not an unprimeable number, because it can be changed into a prime (10954523) 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, 6298 + ... + 7846.

Almost surely, 210954528 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 10954528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303900).

10954528 is an abundant number, since it is smaller than the sum of its proper divisors (13653272).

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

10954528 is a wasteful number, since it uses less digits than its factorization.

10954528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 10954528 is about 3309.7625292459. The cubic root of 10954528 is about 222.0911348358.

The spelling of 10954528 in words is "ten million, nine hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1549 1768 3098 3536 6196 7072 12392 20137 24784 26333 40274 49568 52666 80548 105332 161096 210664 322192 342329 421328 644384 684658 842656 1369316 2738632 5477264 10954528