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2687603130 = 2325232944771
BaseRepresentation
bin1010000000110001…
…1001000110111010
320221022012101101200
42200030121012322
521001011300010
61122404355030
7123413151432
oct24014310672
96838171350
102687603130
11115a09a013
126300a5a76
1333aa65c14
141b6d272c2
1510ae36cc0
hexa03191ba

2687603130 has 96 divisors (see below), whose sum is σ = 7543186560. Its totient is φ = 661879680.

The previous prime is 2687603123. The next prime is 2687603131. The reversal of 2687603130 is 313067862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2687603131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37645 + ... + 82415.

It is an arithmetic number, because the mean of its divisors is an integer number (78574860).

Almost surely, 22687603130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687603130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771593280).

2687603130 is an abundant number, since it is smaller than the sum of its proper divisors (4855583430).

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

2687603130 is a wasteful number, since it uses less digits than its factorization.

2687603130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44836 (or 44833 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2687603130 is about 51842.0980478221. The cubic root of 2687603130 is about 1390.3422254847.

The spelling of 2687603130 in words is "two billion, six hundred eighty-seven million, six hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 29 30 45 46 58 69 87 90 115 138 145 174 207 230 261 290 345 414 435 522 667 690 870 1035 1305 1334 2001 2070 2610 3335 4002 6003 6670 10005 12006 20010 30015 44771 60030 89542 134313 223855 268626 402939 447710 671565 805878 1029733 1298359 1343130 2014695 2059466 2596718 3089199 3895077 4029390 5148665 6178398 6491795 7790154 9267597 10297330 11685231 12983590 15445995 18535194 19475385 23370462 29862257 30891990 38950770 46337985 58426155 59724514 89586771 92675970 116852310 149311285 179173542 268760313 298622570 447933855 537520626 895867710 1343801565 2687603130