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10816728 = 2331337937
BaseRepresentation
bin101001010000…
…110011011000
3202100112202120
4221100303120
510232113403
61023501240
7160640436
oct51206330
922315676
1010816728
11611884a
123757820
132319540
141617d56
15e39e53
hexa50cd8

10816728 has 64 divisors (see below), whose sum is σ = 29940960. Its totient is φ = 3234816.

The previous prime is 10816727. The next prime is 10816747. The reversal of 10816728 is 82761801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10816723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11076 + ... + 12012.

Almost surely, 210816728 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 10816728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970480).

10816728 is an abundant number, since it is smaller than the sum of its proper divisors (19124232).

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

10816728 is a wasteful number, since it uses less digits than its factorization.

10816728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10816728 is about 3288.8794444309. The cubic root of 10816728 is about 221.1559541568.

It can be divided in two parts, 108 and 16728, that added together give a triangular number (16836 = T183).

The spelling of 10816728 in words is "ten million, eight hundred sixteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 937 962 1443 1874 1924 2811 2886 3748 3848 5622 5772 7496 11244 11544 12181 22488 24362 34669 36543 48724 69338 73086 97448 104007 138676 146172 208014 277352 292344 416028 450697 832056 901394 1352091 1802788 2704182 3605576 5408364 10816728