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2690261000 = 23537715413
BaseRepresentation
bin1010000001011010…
…0010000000001000
320221111012102022022
42200112202000020
521002201323000
61122541344012
7123444561350
oct24026420010
96844172268
102690261000
1111606449a9
12630b68008
1333b48691b
141b7419b60
1510b2ae585
hexa05a2008

2690261000 has 128 divisors (see below), whose sum is σ = 7297205760. Its totient is φ = 909216000.

The previous prime is 2690260997. The next prime is 2690261011. The reversal of 2690261000 is 1620962.

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, 494294 + ... + 499706.

It is an arithmetic number, because the mean of its divisors is an integer number (57009420).

Almost surely, 22690261000 is an apocalyptic number.

2690261000 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 2690261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648602880).

2690261000 is an abundant number, since it is smaller than the sum of its proper divisors (4606944760).

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

2690261000 is a wasteful number, since it uses less digits than its factorization.

2690261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2690261000 is about 51867.7259960373. The cubic root of 2690261000 is about 1390.8003947437.

Adding to 2690261000 its reverse (1620962), we get a palindrome (2691881962).

The spelling of 2690261000 in words is "two billion, six hundred ninety million, two hundred sixty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 125 140 142 175 200 250 280 284 350 355 497 500 568 700 710 875 994 1000 1400 1420 1750 1775 1988 2485 2840 3500 3550 3976 4970 5413 7000 7100 8875 9940 10826 12425 14200 17750 19880 21652 24850 27065 35500 37891 43304 49700 54130 62125 71000 75782 99400 108260 124250 135325 151564 189455 216520 248500 270650 303128 378910 384323 497000 541300 676625 757820 768646 947275 1082600 1353250 1515640 1537292 1894550 1921615 2690261 2706500 3074584 3789100 3843230 4736375 5380522 5413000 7578200 7686460 9472750 9608075 10761044 13451305 15372920 18945500 19216150 21522088 26902610 37891000 38432300 48040375 53805220 67256525 76864600 96080750 107610440 134513050 192161500 269026100 336282625 384323000 538052200 672565250 1345130500 2690261000