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1290242616 = 233134579049
BaseRepresentation
bin100110011100111…
…1000101000111000
310022220211010010120
41030321320220320
510120300230431
6332010213240
743654611165
oct11471705070
93286733116
101290242616
11602343413
12300124220
131773cc990
14c350106c
1578414196
hex4ce78a38

1290242616 has 64 divisors (see below), whose sum is σ = 3481716000. Its totient is φ = 396085248.

The previous prime is 1290242587. The next prime is 1290242617. The reversal of 1290242616 is 6162420921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290242617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138060 + ... + 147108.

Almost surely, 21290242616 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 1290242616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740858000).

1290242616 is an abundant number, since it is smaller than the sum of its proper divisors (2191473384).

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

1290242616 is a wasteful number, since it uses less digits than its factorization.

1290242616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1290242616 is about 35919.9473273556. The cubic root of 1290242616 is about 1088.6554743120.

The spelling of 1290242616 in words is "one billion, two hundred ninety million, two hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 457 914 1371 1828 2742 3656 5484 5941 9049 10968 11882 17823 18098 23764 27147 35646 36196 47528 54294 71292 72392 108588 117637 142584 217176 235274 352911 470548 705822 941096 1411644 2823288 4135393 8270786 12406179 16541572 24812358 33083144 49624716 53760109 99249432 107520218 161280327 215040436 322560654 430080872 645121308 1290242616