Search a number
-
+
54990240 = 25351723293
BaseRepresentation
bin1101000111000…
…1010110100000
310211110210102120
43101301112200
5103034141430
65242344240
71235260254
oct321612640
9124423376
1054990240
1129049a88
12164bb080
13b514906
147436264
154c63610
hex34715a0

54990240 has 192 divisors, whose sum is σ = 192036096. Its totient is φ = 13156352.

The previous prime is 54990211. The next prime is 54990253. The reversal of 54990240 is 4209945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187534 + ... + 187826.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 254990240 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 54990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96018048).

54990240 is an abundant number, since it is smaller than the sum of its proper divisors (137045856).

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

54990240 is a wasteful number, since it uses less digits than its factorization.

54990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 54990240 is about 7415.5404388352. The cubic root of 54990240 is about 380.2727497054.

The spelling of 54990240 in words is "fifty-four million, nine hundred ninety thousand, two hundred forty".