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10928430 = 2325313917
BaseRepresentation
bin101001101100…
…000100101110
3202120012222200
4221230010232
510244202210
61030122330
7161614212
oct51540456
922505880
1010928430
116194767
1237b03a6
132358336
141646942
15e5d0c0
hexa6c12e

10928430 has 48 divisors (see below), whose sum is σ = 29337984. Its totient is φ = 2819520.

The previous prime is 10928429. The next prime is 10928459. The reversal of 10928430 is 3482901.

It is a junction number, because it is equal to n+sod(n) for n = 10928394 and 10928403.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 832 + ... + 4748.

It is an arithmetic number, because the mean of its divisors is an integer number (611208).

Almost surely, 210928430 is an apocalyptic number.

10928430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10928430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668992).

10928430 is an abundant number, since it is smaller than the sum of its proper divisors (18409554).

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

10928430 is a wasteful number, since it uses less digits than its factorization.

10928430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10928430 is about 3305.8175993240. The cubic root of 10928430 is about 221.9146250726.

The spelling of 10928430 in words is "ten million, nine hundred twenty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 3917 7834 11751 19585 23502 35253 39170 58755 70506 117510 121427 176265 242854 352530 364281 607135 728562 1092843 1214270 1821405 2185686 3642810 5464215 10928430