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261868002 = 231133111987
BaseRepresentation
bin11111001101111…
…00100111100010
3200020202021100220
433212330213202
51014014234002
641552423510
76326561364
oct1746744742
9606667326
10261868002
111248aa340
1273847b96
13423395a6
1426ac8d34
1517eca7bc
hexf9bc9e2

261868002 has 32 divisors (see below), whose sum is σ = 573122304. Its totient is φ = 79107600.

The previous prime is 261867989. The next prime is 261868027. The reversal of 261868002 is 200868162.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15853 + ... + 27839.

It is an arithmetic number, because the mean of its divisors is an integer number (17910072).

Almost surely, 2261868002 is an apocalyptic number.

261868002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

261868002 is an abundant number, since it is smaller than the sum of its proper divisors (311254302).

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

261868002 is a wasteful number, since it uses less digits than its factorization.

261868002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12334.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 261868002 is about 16182.3361107103. The cubic root of 261868002 is about 639.7753133805.

The spelling of 261868002 in words is "two hundred sixty-one million, eight hundred sixty-eight thousand, two".

Divisors: 1 2 3 6 11 22 33 66 331 662 993 1986 3641 7282 10923 11987 21846 23974 35961 71922 131857 263714 395571 791142 3967697 7935394 11903091 23806182 43644667 87289334 130934001 261868002