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54034020 = 22335472129
BaseRepresentation
bin1100111000011…
…1111001100100
310202200012202000
43032013321210
5102313042040
65210045300
71224165405
oct316077144
9122605660
1054034020
1128556617
1216119830
13b26b5c1
1472679ac
154b25130
hex3387e64

54034020 has 96 divisors (see below), whose sum is σ = 171763200. Its totient is φ = 14095872.

The previous prime is 54034009. The next prime is 54034021. The reversal of 54034020 is 2043045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54033984 and 54034002.

It is not an unprimeable number, because it can be changed into a prime (54034021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24316 + ... + 26444.

It is an arithmetic number, because the mean of its divisors is an integer number (1789200).

Almost surely, 254034020 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 54034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85881600).

54034020 is an abundant number, since it is smaller than the sum of its proper divisors (117729180).

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

54034020 is a wasteful number, since it uses less digits than its factorization.

54034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54034020 is about 7350.7836316953. The cubic root of 54034020 is about 378.0556733317.

Adding to 54034020 its reverse (2043045), we get a palindrome (56077065).

The spelling of 54034020 in words is "fifty-four million, thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2129 2538 2820 4230 4258 5076 6345 6387 8460 8516 10645 12690 12774 19161 21290 25380 25548 31935 38322 42580 57483 63870 76644 95805 100063 114966 127740 191610 200126 229932 287415 300189 383220 400252 500315 574830 600378 900567 1000630 1149660 1200756 1500945 1801134 2001260 2701701 3001890 3602268 4502835 5403402 6003780 9005670 10806804 13508505 18011340 27017010 54034020