Search a number
-
+
10928500 = 2253111987
BaseRepresentation
bin101001101100…
…000101110100
3202120020002021
4221230011310
510244203000
61030122524
7161614342
oct51540564
922506067
1010928500
116194820
1237b0444
13235838b
141646992
15e5d11a
hexa6c174

10928500 has 48 divisors (see below), whose sum is σ = 26050752. Its totient is φ = 3972000.

The previous prime is 10928471. The next prime is 10928507. The reversal of 10928500 is 582901.

It is a super-2 number, since 2×109285002 = 238864224500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4507 + ... + 6493.

It is an arithmetic number, because the mean of its divisors is an integer number (542724).

Almost surely, 210928500 is an apocalyptic number.

10928500 is a gapful number since it is divisible by the number (10) 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 10928500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025376).

10928500 is an abundant number, since it is smaller than the sum of its proper divisors (15122252).

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

10928500 is a wasteful number, since it uses less digits than its factorization.

10928500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10928500 is about 3305.8281867030. The cubic root of 10928500 is about 221.9150988823.

The spelling of 10928500 in words is "ten million, nine hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 1987 2750 3974 5500 7948 9935 19870 21857 39740 43714 49675 87428 99350 109285 198700 218570 248375 437140 496750 546425 993500 1092850 2185700 2732125 5464250 10928500