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54672340 = 225174012
BaseRepresentation
bin1101000010001…
…1101111010100
310210212122100111
43100203233110
5102444003330
65231452404
71232464402
oct320435724
9123778314
1054672340
1128952158
1216387104
13b432cc8
147392472
154bee32a
hex3423bd4

54672340 has 36 divisors (see below), whose sum is σ = 121869468. Its totient is φ = 20531200.

The previous prime is 54672283. The next prime is 54672379. The reversal of 54672340 is 4327645.

54672340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 26071236 + 28601104 = 5106^2 + 5348^2 .

It is a super-2 number, since 2×546723402 = 5978129522151200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 136140 + ... + 136540.

It is an arithmetic number, because the mean of its divisors is an integer number (3385263).

Almost surely, 254672340 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 54672340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60934734).

54672340 is an abundant number, since it is smaller than the sum of its proper divisors (67197128).

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

54672340 is a wasteful number, since it uses less digits than its factorization.

54672340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 54672340 is about 7394.0746547489. The cubic root of 54672340 is about 379.5385441944.

Adding to 54672340 its reverse (4327645), we get a palindrome (58999985).

The spelling of 54672340 in words is "fifty-four million, six hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 401 802 1604 2005 4010 6817 8020 13634 27268 34085 68170 136340 160801 321602 643204 804005 1608010 2733617 3216020 5467234 10934468 13668085 27336170 54672340