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2689301000 = 235314918049
BaseRepresentation
bin1010000001001011…
…0111101000001000
320221102101122102202
42200102313220020
521001430113000
61122505015332
7123433452461
oct24022675010
96842348382
102689301000
111160049711
12630784548
1333b20b989
141b7249d68
1510b16edd5
hexa04b7a08

2689301000 has 64 divisors (see below), whose sum is σ = 6335550000. Its totient is φ = 1068441600.

The previous prime is 2689300973. The next prime is 2689301023. The reversal of 2689301000 is 1039862.

It can be written as a sum of positive squares in 8 ways, for example, as 74615044 + 2614685956 = 8638^2 + 51134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139976 + ... + 158024.

Almost surely, 22689301000 is an apocalyptic number.

2689301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167775000).

2689301000 is an abundant number, since it is smaller than the sum of its proper divisors (3646249000).

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

2689301000 is a wasteful number, since it uses less digits than its factorization.

2689301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18219 (or 18205 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2689301000 is about 51858.4708606029. The cubic root of 2689301000 is about 1390.6349427392.

The spelling of 2689301000 in words is "two billion, six hundred eighty-nine million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 14900 18049 18625 29800 36098 37250 72196 74500 90245 144392 149000 180490 360980 451225 721960 902450 1804900 2256125 2689301 3609800 4512250 5378602 9024500 10757204 13446505 18049000 21514408 26893010 53786020 67232525 107572040 134465050 268930100 336162625 537860200 672325250 1344650500 2689301000