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54626130 = 23351379197
BaseRepresentation
bin1101000001100…
…0011101010010
310210210021222000
43100120131102
5102441014010
65230454430
71232212566
oct320303522
9123707860
1054626130
1128920469
1216364416
13b417c70
14737d6a6
154be07c0
hex3418752

54626130 has 128 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 13208832.

The previous prime is 54626101. The next prime is 54626149. The reversal of 54626130 is 3162645.

54626130 is a `hidden beast` number, since 5 + 4 + 626 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54626094 and 54626103.

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 63 ways as a sum of consecutive naturals, for example, 277192 + ... + 277388.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 254626130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54626130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

54626130 is an abundant number, since it is smaller than the sum of its proper divisors (105041070).

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

54626130 is a wasteful number, since it uses less digits than its factorization.

54626130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54626130 is about 7390.9491947922. The cubic root of 54626130 is about 379.4315832233.

Adding to 54626130 its reverse (3162645), we get a palindrome (57788775).

It can be divided in two parts, 54626 and 130, that added together give a square (54756 = 2342).

The spelling of 54626130 in words is "fifty-four million, six hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 79 90 117 130 135 158 195 197 234 237 270 351 390 394 395 474 585 591 702 711 790 985 1027 1170 1182 1185 1422 1755 1773 1970 2054 2133 2370 2561 2955 3081 3510 3546 3555 4266 5122 5135 5319 5910 6162 7110 7683 8865 9243 10270 10638 10665 12805 15366 15405 15563 17730 18486 21330 23049 25610 26595 27729 30810 31126 38415 46098 46215 46689 53190 55458 69147 76830 77815 92430 93378 115245 138294 138645 140067 155630 202319 230490 233445 277290 280134 345735 404638 420201 466890 606957 691470 700335 840402 1011595 1213914 1400670 1820871 2023190 2101005 3034785 3641742 4202010 5462613 6069570 9104355 10925226 18208710 27313065 54626130