Search a number
-
+
11434140 = 22325139457
BaseRepresentation
bin101011100111…
…100010011100
3210111220200200
4223213202130
510411343030
61045023500
7166121454
oct53474234
923456620
1011434140
1164aa703
1239b4b90
1324a4583
141738d64
15100cd60
hexae789c

11434140 has 72 divisors (see below), whose sum is σ = 35009520. Its totient is φ = 3020544.

The previous prime is 11434139. The next prime is 11434169. The reversal of 11434140 is 4143411.

It is a super-3 number, since 3×114341403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24792 + ... + 25248.

Almost surely, 211434140 is an apocalyptic number.

11434140 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 11434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17504760).

11434140 is an abundant number, since it is smaller than the sum of its proper divisors (23575380).

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

11434140 is a wasteful number, since it uses less digits than its factorization.

11434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11434140 is about 3381.4405214346. The cubic root of 11434140 is about 225.2861544337.

Adding to 11434140 its reverse (4143411), we get a palindrome (15577551).

The spelling of 11434140 in words is "eleven million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 457 556 695 834 914 1251 1371 1390 1668 1828 2085 2285 2502 2742 2780 4113 4170 4570 5004 5484 6255 6855 8226 8340 9140 12510 13710 16452 20565 25020 27420 41130 63523 82260 127046 190569 254092 317615 381138 571707 635230 762276 952845 1143414 1270460 1905690 2286828 2858535 3811380 5717070 11434140