Search a number
-
+
54730000 = 245413421
BaseRepresentation
bin1101000011000…
…1110100010000
310210222120110001
43100301310100
5103002330000
65233015344
71233124453
oct320616420
9123876401
1054730000
1128991506
12163b4554
13b453320
1473a949a
154c1146a
hex3431d10

54730000 has 100 divisors (see below), whose sum is σ = 143038588. Its totient is φ = 20160000.

The previous prime is 54729991. The next prime is 54730001. The reversal of 54730000 is 3745.

It can be written as a sum of positive squares in 10 ways, for example, as 54582544 + 147456 = 7388^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 54730000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54730001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129790 + ... + 130210.

Almost surely, 254730000 is an apocalyptic number.

54730000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71519294).

54730000 is an abundant number, since it is smaller than the sum of its proper divisors (88308588).

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

54730000 is a wasteful number, since it uses less digits than its factorization.

54730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 54730000 is about 7397.9726952727. The cubic root of 54730000 is about 379.6719236668.

Adding to 54730000 its reverse (3745), we get a palindrome (54733745).

The spelling of 54730000 in words is "fifty-four million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 421 500 520 625 650 842 1000 1040 1250 1300 1625 1684 2000 2105 2500 2600 3250 3368 4210 5000 5200 5473 6500 6736 8125 8420 10000 10525 10946 13000 16250 16840 21050 21892 26000 27365 32500 33680 42100 43784 52625 54730 65000 84200 87568 105250 109460 130000 136825 168400 210500 218920 263125 273650 421000 437840 526250 547300 684125 842000 1052500 1094600 1368250 2105000 2189200 2736500 3420625 4210000 5473000 6841250 10946000 13682500 27365000 54730000