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253148 = 2279041
BaseRepresentation
bin111101110011011100
3110212020212
4331303130
531100043
65231552
72103020
oct756334
9425225
10253148
11163215
121025b8
138b2bc
1468380
1550018
hex3dcdc

253148 has 12 divisors (see below), whose sum is σ = 506352. Its totient is φ = 108480.

The previous prime is 253133. The next prime is 253153. The reversal of 253148 is 841352.

253148 is an admirable number.

It is a super-3 number, since 3×2531483 = 48668140873133376, which contains 333 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253148.

It is an unprimeable number.

253148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4493 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (42196).

2253148 is an apocalyptic number.

253148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

253148 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

253148 is a wasteful number, since it uses less digits than its factorization.

253148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9050 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 253148 is about 503.1381520020. The cubic root of 253148 is about 63.2593657854.

The spelling of 253148 in words is "two hundred fifty-three thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 9041 18082 36164 63287 126574 253148