Search a number
-
+
10892130 = 2351997197
BaseRepresentation
bin101001100011…
…001101100010
3202111101012020
4221203031202
510242022010
61025242310
7161403324
oct51431542
922441166
1010892130
11616a467
123793396
132344962
141637614
15e52470
hexa63362

10892130 has 64 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 2709504.

The previous prime is 10892117. The next prime is 10892159. The reversal of 10892130 is 3129801.

It is a Curzon number.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 10892130.

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 31 ways as a sum of consecutive naturals, for example, 55192 + ... + 55388.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 210892130 is an apocalyptic number.

10892130 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 10892130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

10892130 is an abundant number, since it is smaller than the sum of its proper divisors (17049630).

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

10892130 is a wasteful number, since it uses less digits than its factorization.

10892130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10892130 is about 3300.3227114935. The cubic root of 10892130 is about 221.6686477923.

The spelling of 10892130 in words is "ten million, eight hundred ninety-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 97 114 190 194 197 285 291 394 485 570 582 591 970 985 1182 1455 1843 1970 2910 2955 3686 3743 5529 5910 7486 9215 11058 11229 18430 18715 19109 22458 27645 37430 38218 55290 56145 57327 95545 112290 114654 191090 286635 363071 573270 726142 1089213 1815355 2178426 3630710 5446065 10892130