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2690276900 = 225261441029
BaseRepresentation
bin1010000001011010…
…0101111000100100
320221111020020010012
42200112211320210
521002202330100
61122541545352
7123444655613
oct24026457044
96844206105
102690276900
111160655943
12630b75258
1333b490c2c
141b742187a
1510b2b4135
hexa05a5e24

2690276900 has 36 divisors (see below), whose sum is σ = 5933617620. Its totient is φ = 1058467200.

The previous prime is 2690276881. The next prime is 2690276909. The reversal of 2690276900 is 96720962.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 417466624 + 2272810276 = 20432^2 + 47674^2 .

It is a super-2 number, since 2×26902769002 = 14475179597347220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2690276909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214415 + ... + 226614.

Almost surely, 22690276900 is an apocalyptic number.

2690276900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2690276900 is an abundant number, since it is smaller than the sum of its proper divisors (3243340720).

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

2690276900 is a wasteful number, since it uses less digits than its factorization.

2690276900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441104 (or 441097 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 2690276900 is about 51867.8792703153. The cubic root of 2690276900 is about 1390.8031347111.

The spelling of 2690276900 in words is "two billion, six hundred ninety million, two hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 441029 882058 1764116 2205145 4410290 8820580 11025725 22051450 26902769 44102900 53805538 107611076 134513845 269027690 538055380 672569225 1345138450 2690276900