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253235440 = 24519116573
BaseRepresentation
bin11110001100000…
…01000011110000
3122122111200201101
433012001003300
51004312013230
641043414144
76163315513
oct1706010360
9578450641
10253235440
1111aa43597
1270984354
1340606273
14258bcd7a
1517372aca
hexf1810f0

253235440 has 40 divisors (see below), whose sum is σ = 591890688. Its totient is φ = 100757760.

The previous prime is 253235429. The next prime is 253235441. The reversal of 253235440 is 44532352.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 253235399 and 253235408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253235441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6994 + ... + 23566.

Almost surely, 2253235440 is an apocalyptic number.

253235440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253235440 is an abundant number, since it is smaller than the sum of its proper divisors (338655248).

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

253235440 is a wasteful number, since it uses less digits than its factorization.

253235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16777 (or 16771 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 253235440 is about 15913.3729925494. The cubic root of 253235440 is about 632.6664843192. Note that the first 3 decimals are identical.

Adding to 253235440 its reverse (44532352), we get a palindrome (297767792).

The spelling of 253235440 in words is "two hundred fifty-three million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 7640 15280 16573 33146 66292 82865 132584 165730 265168 331460 662920 1325840 3165443 6330886 12661772 15827215 25323544 31654430 50647088 63308860 126617720 253235440