Search a number
-
+
2801683890 = 23453458869
BaseRepresentation
bin1010011011111110…
…0100110110110010
321020020212021210000
42212333210312302
521214212341030
61142001450430
7126266630415
oct24677446662
97206767700
102801683890
111208528635
12662340a16
13358599825
141c8141b7c
15115e6d860
hexa6fe4db2

2801683890 has 40 divisors (see below), whose sum is σ = 7533418860. Its totient is φ = 747115488.

The previous prime is 2801683879. The next prime is 2801683901. The reversal of 2801683890 is 983861082.

It is an interprime number because it is at equal distance from previous prime (2801683879) and next prime (2801683901).

It can be written as a sum of positive squares in 2 ways, for example, as 2524761009 + 276922881 = 50247^2 + 16641^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1728625 + ... + 1730244.

Almost surely, 22801683890 is an apocalyptic number.

2801683890 is an abundant number, since it is smaller than the sum of its proper divisors (4731734970).

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

2801683890 is a wasteful number, since it uses less digits than its factorization.

2801683890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458888 (or 3458879 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2801683890 is about 52930.9350947062. The cubic root of 2801683890 is about 1409.7422344555.

The spelling of 2801683890 in words is "two billion, eight hundred one million, six hundred eighty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 3458869 6917738 10376607 17294345 20753214 31129821 34588690 51883035 62259642 93389463 103766070 155649105 186778926 280168389 311298210 466947315 560336778 933894630 1400841945 2801683890