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1290212740 = 225370917393
BaseRepresentation
bin100110011100111…
…0001010110000100
310022220202121011001
41030321301112010
510120243301430
6332005423044
743654425115
oct11471612604
93286677131
101290212740
11602322a23
1230010aa84
131773bc1bb
14c34d420c
157840a3ca
hex4ce71584

1290212740 has 24 divisors (see below), whose sum is σ = 2710333080. Its totient is φ = 515916288.

The previous prime is 1290212717. The next prime is 1290212747. The reversal of 1290212740 is 472120921.

It can be written as a sum of positive squares in 4 ways, for example, as 3268864 + 1286943876 = 1808^2 + 35874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1290212699 and 1290212708.

It is not an unprimeable number, because it can be changed into a prime (1290212747) 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, 65484 + ... + 82876.

It is an arithmetic number, because the mean of its divisors is an integer number (112930545).

Almost surely, 21290212740 is an apocalyptic number.

1290212740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290212740 is an abundant number, since it is smaller than the sum of its proper divisors (1420120340).

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

1290212740 is a wasteful number, since it uses less digits than its factorization.

1290212740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21111 (or 21109 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1290212740 is about 35919.5314557415. The cubic root of 1290212740 is about 1088.6470715197.

The spelling of 1290212740 in words is "one billion, two hundred ninety million, two hundred twelve thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 3709 7418 14836 17393 18545 34786 37090 69572 74180 86965 173930 347860 64510637 129021274 258042548 322553185 645106370 1290212740