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255040900 = 225215972
BaseRepresentation
bin11110011001110…
…01110110000100
3122202220102100021
433030321312010
51010242302100
641150224524
76214545322
oct1714716604
9582812307
10255040900
11120a67004
12714b5144
1340ab8c9a
1425c2cd12
15175cca1a
hexf339d84

255040900 has 27 divisors (see below), whose sum is σ = 553785519. Its totient is φ = 101952480.

The previous prime is 255040883. The next prime is 255040909. The reversal of 255040900 is 9040552.

The square root of 255040900 is 15970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 50893956 + 204146944 = 7134^2 + 14288^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (255040909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 158902 + ... + 160498.

Almost surely, 2255040900 is an apocalyptic number.

255040900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255040900 is the 15970-th square number.

It is an amenable number.

255040900 is an abundant number, since it is smaller than the sum of its proper divisors (298744619).

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

255040900 is an equidigital number, since it uses as much as digits as its factorization.

255040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The cubic root of 255040900 is about 634.1664720230.

Multiplying 255040900 by its sum of digits (25), we get a square (6376022500 = 798502).

255040900 divided by its sum of digits (25) gives a square (10201636 = 31942).

The spelling of 255040900 in words is "two hundred fifty-five million, forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1597 3194 6388 7985 15970 31940 39925 79850 159700 2550409 5100818 10201636 12752045 25504090 51008180 63760225 127520450 255040900