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6020145120 = 2535112389557
BaseRepresentation
bin1011001101101010…
…00001111111100000
3120112112222001120210
411212311001333200
544312124120440
62433212334120
7302120250333
oct54665017740
916475861523
106020145120
11260a240150
121200174340
1374c300262
1441177461a
152537b6a80
hex166d41fe0

6020145120 has 384 divisors, whose sum is σ = 21868600320. Its totient is φ = 1377812480.

The previous prime is 6020145113. The next prime is 6020145121. The reversal of 6020145120 is 215410206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6020145121) 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 63 ways as a sum of consecutive naturals, for example, 10807882 + ... + 10808438.

It is an arithmetic number, because the mean of its divisors is an integer number (56949480).

Almost surely, 26020145120 is an apocalyptic number.

6020145120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6020145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10934300160).

6020145120 is an abundant number, since it is smaller than the sum of its proper divisors (15848455200).

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

6020145120 is a wasteful number, since it uses less digits than its factorization.

6020145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 6020145120 is about 77589.5941476691. The cubic root of 6020145120 is about 1819.1519939466.

Adding to 6020145120 its reverse (215410206), we get a palindrome (6235555326).

The spelling of 6020145120 in words is "six billion, twenty million, one hundred forty-five thousand, one hundred twenty".