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54234120 = 23352831597
BaseRepresentation
bin1100111011100…
…0110000001000
310210001101020010
43032320300020
5102340442440
65214231520
71225660653
oct316706010
9123041203
1054234120
1128682996
12161b55a0
13b30b6c5
1472ba89a
154b64580
hex33b8c08

54234120 has 64 divisors (see below), whose sum is σ = 163379520. Its totient is φ = 14402304.

The previous prime is 54234083. The next prime is 54234121. The reversal of 54234120 is 2143245.

It is not an unprimeable number, because it can be changed into a prime (54234121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33162 + ... + 34758.

It is an arithmetic number, because the mean of its divisors is an integer number (2552805).

Almost surely, 254234120 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 54234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81689760).

54234120 is an abundant number, since it is smaller than the sum of its proper divisors (109145400).

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

54234120 is a wasteful number, since it uses less digits than its factorization.

54234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54234120 is about 7364.3818477860. The cubic root of 54234120 is about 378.5217732089.

Adding to 54234120 its reverse (2143245), we get a palindrome (56377365).

It can be divided in two parts, 542341 and 20, that added together give a triangular number (542361 = T1041).

The spelling of 54234120 in words is "fifty-four million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283 566 849 1132 1415 1597 1698 2264 2830 3194 3396 4245 4791 5660 6388 6792 7985 8490 9582 11320 12776 15970 16980 19164 23955 31940 33960 38328 47910 63880 95820 191640 451951 903902 1355853 1807804 2259755 2711706 3615608 4519510 5423412 6779265 9039020 10846824 13558530 18078040 27117060 54234120