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54140720 = 2451813739
BaseRepresentation
bin1100111010000…
…1111100110000
310202212122002212
43032201330300
5102330000340
65212231252
71225121444
oct316417460
9122778085
1054140720
11286197a7
121616b528
13b2a803a
147294824
154b46a65
hex33a1f30

54140720 has 40 divisors (see below), whose sum is σ = 126606480. Its totient is φ = 21530880.

The previous prime is 54140717. The next prime is 54140729. The reversal of 54140720 is 2704145.

54140720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (54140729) 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 7 ways as a sum of consecutive naturals, for example, 12611 + ... + 16349.

It is an arithmetic number, because the mean of its divisors is an integer number (3165162).

Almost surely, 254140720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63303240).

54140720 is an abundant number, since it is smaller than the sum of its proper divisors (72465760).

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

54140720 is a wasteful number, since it uses less digits than its factorization.

54140720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 54140720 is about 7358.0377819090. The cubic root of 54140720 is about 378.3043562757.

Adding to 54140720 its reverse (2704145), we get a palindrome (56844865).

The spelling of 54140720 in words is "fifty-four million, one hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 3739 7240 7478 14480 14956 18695 29912 37390 59824 74780 149560 299120 676759 1353518 2707036 3383795 5414072 6767590 10828144 13535180 27070360 54140720