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10961028 = 22331337211
BaseRepresentation
bin101001110100…
…000010000100
3202121212201000
4221310002010
510301223103
61030533300
7162111231
oct51640204
922555630
1010961028
116207201
123807230
13236a120
141654788
15e67aa3
hexa74084

10961028 has 96 divisors (see below), whose sum is σ = 31579520. Its totient is φ = 3265920.

The previous prime is 10961021. The next prime is 10961033. The reversal of 10961028 is 82016901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10960992 and 10961010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10961021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51843 + ... + 52053.

Almost surely, 210961028 is an apocalyptic number.

10961028 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 10961028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789760).

10961028 is an abundant number, since it is smaller than the sum of its proper divisors (20618492).

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

10961028 is a wasteful number, since it uses less digits than its factorization.

10961028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10961028 is about 3310.7443271869. The cubic root of 10961028 is about 222.1350529595.

Adding to 10961028 its reverse (82016901), we get a palindrome (92977929).

The spelling of 10961028 in words is "ten million, nine hundred sixty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 211 222 234 333 351 422 444 468 481 633 666 702 844 962 999 1266 1332 1404 1443 1899 1924 1998 2532 2743 2886 3798 3996 4329 5486 5697 5772 7596 7807 8229 8658 10972 11394 12987 15614 16458 17316 22788 23421 24687 25974 31228 32916 46842 49374 51948 70263 74061 93684 98748 101491 140526 148122 202982 210789 281052 296244 304473 405964 421578 608946 843156 913419 1217892 1826838 2740257 3653676 5480514 10961028