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6002056560 = 243525008569
BaseRepresentation
bin1011001011100000…
…00001110101110000
3120111021221001202010
411211300001311300
544243011302220
62431324522520
7301510432113
oct54560016560
916437831663
106002056560
112600005a25
1211b60b0440
13748638b76
1440d1c657a
15251de21e0
hex165c01d70

6002056560 has 40 divisors (see below), whose sum is σ = 18606376080. Its totient is φ = 1600548352.

The previous prime is 6002056531. The next prime is 6002056561. The reversal of 6002056560 is 656502006.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002056561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12504045 + ... + 12504524.

It is an arithmetic number, because the mean of its divisors is an integer number (465159402).

Almost surely, 26002056560 is an apocalyptic number.

6002056560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6002056560 is an abundant number, since it is smaller than the sum of its proper divisors (12604319520).

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

6002056560 is a wasteful number, since it uses less digits than its factorization.

6002056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25008585 (or 25008579 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 6002056560 is about 77472.9408245227. The cubic root of 6002056560 is about 1817.3281812011.

Adding to 6002056560 its reverse (656502006), we get a palindrome (6658558566).

The spelling of 6002056560 in words is "six billion, two million, fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 25008569 50017138 75025707 100034276 125042845 150051414 200068552 250085690 300102828 375128535 400137104 500171380 600205656 750257070 1000342760 1200411312 1500514140 2000685520 3001028280 6002056560