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268512100 = 22522685121
BaseRepresentation
bin10000000000010…
…010101101100100
3200201020211100121
4100000102231210
51022214341400
642351051324
76440213053
oct2000225544
9621224317
10268512100
1112862812a
1275b10b44
13438247cc
142793839a
151888e21a
hex10012b64

268512100 has 18 divisors (see below), whose sum is σ = 582671474. Its totient is φ = 107404800.

The previous prime is 268512043. The next prime is 268512103. The reversal of 268512100 is 1215862.

It can be written as a sum of positive squares in 3 ways, for example, as 338724 + 268173376 = 582^2 + 16376^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (268512103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1342461 + ... + 1342660.

Almost surely, 2268512100 is an apocalyptic number.

268512100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268512100 is an abundant number, since it is smaller than the sum of its proper divisors (314159374).

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

268512100 is a wasteful number, since it uses less digits than its factorization.

268512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685135 (or 2685128 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 268512100 is about 16386.3388223239. The cubic root of 268512100 is about 645.1409663248.

Adding to 268512100 its reverse (1215862), we get a palindrome (269727962).

The spelling of 268512100 in words is "two hundred sixty-eight million, five hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2685121 5370242 10740484 13425605 26851210 53702420 67128025 134256050 268512100