Search a number
-
+
54039030120 = 2335519319439
BaseRepresentation
bin110010010100111110…
…100010100101101000
312011111001222011100000
4302110332202211220
51341132442430440
640454123543000
73622065114525
oct622476424550
9164431864300
1054039030120
1120a10695179
12a58168aa60
1351327a868a
142888d2414c
151614279730
hexc94fa2968

54039030120 has 384 divisors, whose sum is σ = 197922816000. Its totient is φ = 13210179840.

The previous prime is 54039030119. The next prime is 54039030121. The reversal of 54039030120 is 2103093045.

54039030120 is a `hidden beast` number, since 540 + 3 + 90 + 30 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54039030119) and next prime (54039030121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54039030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5720361 + ... + 5729799.

It is an arithmetic number, because the mean of its divisors is an integer number (515424000).

Almost surely, 254039030120 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 54039030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98961408000).

54039030120 is an abundant number, since it is smaller than the sum of its proper divisors (143883785880).

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

54039030120 is a wasteful number, since it uses less digits than its factorization.

54039030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9499 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 54039030120 in words is "fifty-four billion, thirty-nine million, thirty thousand, one hundred twenty".