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54076660 = 225111719761
BaseRepresentation
bin1100111001001…
…0010011110100
310202202101020021
43032102103310
5102320423120
65211014524
71224433621
oct316222364
9122671207
1054076660
1128585660
121613a444
13b284b31
147279348
154b32aaa
hex33924f4

54076660 has 96 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 17510400.

The previous prime is 54076639. The next prime is 54076691. The reversal of 54076660 is 6667045.

54076660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 31 ways as a sum of consecutive naturals, for example, 70680 + ... + 71440.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 254076660 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 54076660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

54076660 is an abundant number, since it is smaller than the sum of its proper divisors (84180620).

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

54076660 is a wasteful number, since it uses less digits than its factorization.

54076660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 54076660 is about 7353.6834307713. The cubic root of 54076660 is about 378.1550925212.

The spelling of 54076660 in words is "fifty-four million, seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 761 836 935 1045 1292 1522 1615 1870 2090 3044 3230 3553 3740 3805 4180 6460 7106 7610 8371 12937 14212 14459 15220 16742 17765 25874 28918 33484 35530 41855 51748 57836 64685 71060 72295 83710 129370 142307 144590 159049 167420 245803 258740 284614 289180 318098 491606 569228 636196 711535 795245 983212 1229015 1423070 1590490 2458030 2703833 2846140 3180980 4916060 5407666 10815332 13519165 27038330 54076660