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1008890010 = 2325101110989
BaseRepresentation
bin111100001000100…
…111000010011010
32121022101220220200
4330020213002122
54031233440020
6244040003030
734000265202
oct7410470232
92538356820
101008890010
11478545aa7
12241a60476
1313103074b
1497dc3402
155d88a590
hex3c22709a

1008890010 has 48 divisors (see below), whose sum is σ = 2649109320. Its totient is φ = 266371200.

The previous prime is 1008889997. The next prime is 1008890017. The reversal of 1008890010 is 100988001.

It can be written as a sum of positive squares in 4 ways, for example, as 972130041 + 36759969 = 31179^2 + 6063^2 .

It is not an unprimeable number, because it can be changed into a prime (1008890017) 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 23 ways as a sum of consecutive naturals, for example, 46405 + ... + 64584.

Almost surely, 21008890010 is an apocalyptic number.

1008890010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1008890010 is an abundant number, since it is smaller than the sum of its proper divisors (1640219310).

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

1008890010 is a wasteful number, since it uses less digits than its factorization.

1008890010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111103 (or 111100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1008890010 is about 31763.0289802468. The cubic root of 1008890010 is about 1002.9545984173.

The spelling of 1008890010 in words is "one billion, eight million, eight hundred ninety thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 110989 221978 332967 554945 665934 998901 1109890 1664835 1997802 3329670 4994505 9989010 11209889 22419778 33629667 56049445 67259334 100889001 112098890 168148335 201778002 336296670 504445005 1008890010