Search a number
-
+
12154240 = 27572713
BaseRepresentation
bin101110010111…
…010110000000
3211212111111001
4232113112000
511102413430
61112301344
7205211050
oct56272600
924774431
1012154240
11695172a
1240a1854
132697277
141885560
1511013ca
hexb97580

12154240 has 64 divisors (see below), whose sum is σ = 33219360. Its totient is φ = 4165632.

The previous prime is 12154231. The next prime is 12154267. The reversal of 12154240 is 4245121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3124 + ... + 5836.

Almost surely, 212154240 is an apocalyptic number.

12154240 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 12154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609680).

12154240 is an abundant number, since it is smaller than the sum of its proper divisors (21065120).

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

12154240 is an equidigital number, since it uses as much as digits as its factorization.

12154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 12154240 is about 3486.2931603639. The cubic root of 12154240 is about 229.9195685997.

Adding to 12154240 its reverse (4245121), we get a palindrome (16399361).

The spelling of 12154240 in words is "twelve million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 2713 4480 5426 10852 13565 18991 21704 27130 37982 43408 54260 75964 86816 94955 108520 151928 173632 189910 217040 303856 347264 379820 434080 607712 759640 868160 1215424 1519280 1736320 2430848 3038560 6077120 12154240