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6552560140 = 2257374130853
BaseRepresentation
bin1100001101001000…
…00010001000001100
3121220122210112200121
412012210002020030
5101404423411030
63002112034324
7321243561610
oct60644021014
917818715617
106552560140
112862827465
12132a5329a4
138056c4629
14462367340
152853d447a
hex18690220c

6552560140 has 96 divisors (see below), whose sum is σ = 16545642624. Its totient is φ = 2132490240.

The previous prime is 6552560123. The next prime is 6552560141. The reversal of 6552560140 is 410652556.

It is a junction number, because it is equal to n+sod(n) for n = 6552560096 and 6552560105.

It is not an unprimeable number, because it can be changed into a prime (6552560141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196954 + ... + 227806.

It is an arithmetic number, because the mean of its divisors is an integer number (172350444).

Almost surely, 26552560140 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 6552560140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8272821312).

6552560140 is an abundant number, since it is smaller than the sum of its proper divisors (9993082484).

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

6552560140 is a wasteful number, since it uses less digits than its factorization.

6552560140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30947 (or 30945 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 6552560140 is about 80947.8853337133. The cubic root of 6552560140 is about 1871.2723703626.

The spelling of 6552560140 in words is "six billion, five hundred fifty-two million, five hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 41 70 74 82 140 148 164 185 205 259 287 370 410 518 574 740 820 1036 1148 1295 1435 1517 2590 2870 3034 5180 5740 6068 7585 10619 15170 21238 30340 30853 42476 53095 61706 106190 123412 154265 212380 215971 308530 431942 617060 863884 1079855 1141561 1264973 2159710 2283122 2529946 4319420 4566244 5059892 5707805 6324865 7990927 8854811 11415610 12649730 15981854 17709622 22831220 25299460 31963708 35419244 39954635 44274055 46804001 79909270 88548110 93608002 159818540 177096220 187216004 234020005 327628007 468040010 655256014 936080020 1310512028 1638140035 3276280070 6552560140