[go: up one dir, main page]

Search a number
-
+
268196400 = 243352191307
BaseRepresentation
bin11111111110001…
…01101000110000
3200200122210022000
433333011220300
51022124241100
642340214000
76434426463
oct1777055060
9620583260
10268196400
11128431a1a
127599a300
1343743bc4
14278952da
151882a900
hexffc5a30

268196400 has 240 divisors, whose sum is σ = 1005590400. Its totient is φ = 67703040.

The previous prime is 268196393. The next prime is 268196413. The reversal of 268196400 is 4691862.

268196400 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204547 + ... + 205853.

It is an arithmetic number, because the mean of its divisors is an integer number (4189960).

Almost surely, 2268196400 is an apocalyptic number.

268196400 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 268196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502795200).

268196400 is an abundant number, since it is smaller than the sum of its proper divisors (737394000).

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

268196400 is a wasteful number, since it uses less digits than its factorization.

268196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 268196400 is about 16376.7029648828. The cubic root of 268196400 is about 644.8880281561. Note that the first 3 decimals are identical.

The spelling of 268196400 in words is "two hundred sixty-eight million, one hundred ninety-six thousand, four hundred".