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11434020 = 223513107137
BaseRepresentation
bin101011100111…
…100000100100
3210111220112020
4223213200210
510411342040
61045023140
7166121223
oct53474044
923456466
1011434020
1164aa604
1239b4ab0
1324a44c0
141738cba
15100ccd0
hexae7824

11434020 has 96 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 2767872.

The previous prime is 11433973. The next prime is 11434021. The reversal of 11434020 is 2043411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434021) 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 31 ways as a sum of consecutive naturals, for example, 83392 + ... + 83528.

It is an arithmetic number, because the mean of its divisors is an integer number (365148).

Almost surely, 211434020 is an apocalyptic number.

11434020 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 11434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

11434020 is an abundant number, since it is smaller than the sum of its proper divisors (23620188).

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

11434020 is a wasteful number, since it uses less digits than its factorization.

11434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11434020 is about 3381.4227774710. The cubic root of 11434020 is about 225.2853663135.

Adding to 11434020 its reverse (2043411), we get a palindrome (13477431).

The spelling of 11434020 in words is "eleven million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 137 156 195 214 260 274 321 390 411 428 535 548 642 685 780 822 1070 1284 1370 1391 1605 1644 1781 2055 2140 2740 2782 3210 3562 4110 4173 5343 5564 6420 6955 7124 8220 8346 8905 10686 13910 14659 16692 17810 20865 21372 26715 27820 29318 35620 41730 43977 53430 58636 73295 83460 87954 106860 146590 175908 190567 219885 293180 381134 439770 571701 762268 879540 952835 1143402 1905670 2286804 2858505 3811340 5717010 11434020