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54130656 = 253975813
BaseRepresentation
bin1100111001111…
…1011111100000
310202212010022010
43032133133200
5102324140111
65212112520
71225050216
oct316373740
9122763263
1054130656
1128612188
1216165740
13b2a3598
147290cb6
154b43aa6
hex339f7e0

54130656 has 48 divisors (see below), whose sum is σ = 143582544. Its totient is φ = 17854464.

The previous prime is 54130651. The next prime is 54130663. The reversal of 54130656 is 65603145.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54130651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6406 + ... + 12218.

It is an arithmetic number, because the mean of its divisors is an integer number (2991303).

Almost surely, 254130656 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 54130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71791272).

54130656 is an abundant number, since it is smaller than the sum of its proper divisors (89451888).

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

54130656 is a wasteful number, since it uses less digits than its factorization.

54130656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 54130656 is about 7357.3538721472. The cubic root of 54130656 is about 378.2809143329.

The spelling of 54130656 in words is "fifty-four million, one hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 5813 9312 11626 17439 23252 34878 46504 69756 93008 139512 186016 279024 558048 563861 1127722 1691583 2255444 3383166 4510888 6766332 9021776 13532664 18043552 27065328 54130656