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2140467090 = 235296736721
BaseRepresentation
bin111111110010100…
…1110111110010010
312112011122222211220
41333211032332102
513340424421330
6552221345510
7104020445556
oct17745167622
95464588756
102140467090
119a9268673
124b8a08296
132815b9198
141643c1866
15c7dac710
hex7f94ef92

2140467090 has 64 divisors (see below), whose sum is σ = 5393727360. Its totient is φ = 542868480.

The previous prime is 2140467083. The next prime is 2140467103. The reversal of 2140467090 is 907640412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39930 + ... + 76650.

It is an arithmetic number, because the mean of its divisors is an integer number (84276990).

Almost surely, 22140467090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140467090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696863680).

2140467090 is an abundant number, since it is smaller than the sum of its proper divisors (3253260270).

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

2140467090 is a wasteful number, since it uses less digits than its factorization.

2140467090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36827.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2140467090 is about 46265.1822648523. The cubic root of 2140467090 is about 1288.7524926705.

The spelling of 2140467090 in words is "two billion, one hundred forty million, four hundred sixty-seven thousand, ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 67 87 134 145 174 201 290 335 402 435 670 870 1005 1943 2010 3886 5829 9715 11658 19430 29145 36721 58290 73442 110163 183605 220326 367210 550815 1064909 1101630 2129818 2460307 3194727 4920614 5324545 6389454 7380921 10649090 12301535 14761842 15973635 24603070 31947270 36904605 71348903 73809210 142697806 214046709 356744515 428093418 713489030 1070233545 2140467090