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11000430 = 2325719919
BaseRepresentation
bin101001111101…
…101001101110
3202200212202100
4221331221232
510304003210
61031435530
7162334140
oct51755156
922625670
1011000430
116233871
123825ba6
13238203c
141664c90
15e745c0
hexa7da6e

11000430 has 96 divisors (see below), whose sum is σ = 34444800. Its totient is φ = 2379456.

The previous prime is 11000419. The next prime is 11000441. The reversal of 11000430 is 3400011.

It is an interprime number because it is at equal distance from previous prime (11000419) and next prime (11000441).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11511 + ... + 12429.

It is an arithmetic number, because the mean of its divisors is an integer number (358800).

Almost surely, 211000430 is an apocalyptic number.

11000430 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 11000430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17222400).

11000430 is an abundant number, since it is smaller than the sum of its proper divisors (23444370).

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

11000430 is a wasteful number, since it uses less digits than its factorization.

11000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11000430 is about 3316.6896146610. The cubic root of 11000430 is about 222.4009069326.

Adding to 11000430 its reverse (3400011), we get a palindrome (14400441).

The spelling of 11000430 in words is "eleven million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 919 1197 1330 1710 1838 1995 2394 2757 3990 4595 5514 5985 6433 8271 9190 11970 12866 13785 16542 17461 19299 27570 32165 34922 38598 41355 52383 57897 64330 82710 87305 96495 104766 115794 122227 157149 174610 192990 244454 261915 289485 314298 366681 523830 578970 611135 733362 785745 1100043 1222270 1571490 1833405 2200086 3666810 5500215 11000430