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54158740 = 22519359397
BaseRepresentation
bin1100111010011…
…0010110010100
310202220112211021
43032212112110
5102331034430
65212450524
71225225126
oct316462624
9122815737
1054158740
1128631299
1216179a44
13b2b32bc
14729b216
154b4c07a
hex33a6594

54158740 has 48 divisors (see below), whose sum is σ = 120355200. Its totient is φ = 20414592.

The previous prime is 54158737. The next prime is 54158803. The reversal of 54158740 is 4785145.

54158740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54158696 and 54158705.

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 15 ways as a sum of consecutive naturals, for example, 136222 + ... + 136618.

It is an arithmetic number, because the mean of its divisors is an integer number (2507400).

Almost surely, 254158740 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 54158740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60177600).

54158740 is an abundant number, since it is smaller than the sum of its proper divisors (66196460).

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

54158740 is a wasteful number, since it uses less digits than its factorization.

54158740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 54158740 is about 7359.2621912798. The cubic root of 54158740 is about 378.3463227679.

The spelling of 54158740 in words is "fifty-four million, one hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 359 380 397 718 794 1436 1588 1795 1985 3590 3970 6821 7180 7543 7940 13642 15086 27284 30172 34105 37715 68210 75430 136420 142523 150860 285046 570092 712615 1425230 2707937 2850460 5415874 10831748 13539685 27079370 54158740