Search a number
-
+
54370420 = 225131712301
BaseRepresentation
bin1100111101101…
…0000001110100
310210022022012021
43033122001310
5102404323140
65221202524
71230066226
oct317320164
9123268167
1054370420
1128766335
1216260444
13b358760
147314416
154b8eb4a
hex33da074

54370420 has 48 divisors (see below), whose sum is σ = 130204368. Its totient is φ = 18892800.

The previous prime is 54370417. The next prime is 54370423. The reversal of 54370420 is 2407345.

54370420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54370417) and next prime (54370423).

It can be written as a sum of positive squares in 8 ways, for example, as 2010724 + 52359696 = 1418^2 + 7236^2 .

It is a super-2 number, since 2×543704202 = 5912285141952800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54370423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1731 + ... + 10570.

It is an arithmetic number, because the mean of its divisors is an integer number (2712591).

Almost surely, 254370420 is an apocalyptic number.

It is an amenable number.

54370420 is an abundant number, since it is smaller than the sum of its proper divisors (75833948).

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

54370420 is a wasteful number, since it uses less digits than its factorization.

54370420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12340 (or 12338 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 54370420 is about 7373.6300422519. The cubic root of 54370420 is about 378.8386054757.

Adding to 54370420 its reverse (2407345), we get a palindrome (56777765).

The spelling of 54370420 in words is "fifty-four million, three hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 12301 24602 49204 61505 123010 159913 209117 246020 319826 418234 639652 799565 836468 1045585 1599130 2091170 2718521 3198260 4182340 5437042 10874084 13592605 27185210 54370420