Search a number
-
+
10835430 = 2353161191
BaseRepresentation
bin101001010101…
…010111100110
3202101111102020
4221111113212
510233213210
61024124010
7161046114
oct51252746
922344366
1010835430
116130901
123766606
132324bc8
141620ab4
15e40770
hexa555e6

10835430 has 64 divisors (see below), whose sum is σ = 27426816. Its totient is φ = 2736000.

The previous prime is 10835423. The next prime is 10835431. The reversal of 10835430 is 3453801.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10835430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10835431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56635 + ... + 56825.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 210835430 is an apocalyptic number.

10835430 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 10835430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713408).

10835430 is an abundant number, since it is smaller than the sum of its proper divisors (16591386).

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

10835430 is a wasteful number, since it uses less digits than its factorization.

10835430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10835430 is about 3291.7214341435. The cubic root of 10835430 is about 221.2833394810.

The spelling of 10835430 in words is "ten million, eight hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 61 62 93 122 155 183 186 191 305 310 366 382 465 573 610 915 930 955 1146 1830 1891 1910 2865 3782 5673 5730 5921 9455 11346 11651 11842 17763 18910 23302 28365 29605 34953 35526 56730 58255 59210 69906 88815 116510 174765 177630 349530 361181 722362 1083543 1805905 2167086 3611810 5417715 10835430