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145280 = 275227
BaseRepresentation
bin100011011110000000
321101021202
4203132000
514122110
63040332
71143362
oct433600
9241252
10145280
119a173
12700a8
1351185
143ad32
152d0a5
hex23780

145280 has 32 divisors (see below), whose sum is σ = 348840. Its totient is φ = 57856.

The previous prime is 145267. The next prime is 145283. The reversal of 145280 is 82541.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1452802 = 42212556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145283) by changing a digit.

145280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 527 + ... + 753.

2145280 is an apocalyptic number.

145280 is a gapful number since it is divisible by the number (10) 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 145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174420).

145280 is an abundant number, since it is smaller than the sum of its proper divisors (203560).

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

145280 is an equidigital number, since it uses as much as digits as its factorization.

145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 145280 is about 381.1561359863. The cubic root of 145280 is about 52.5696731793.

145280 divided by its product of nonzero digits (320) gives a palindrome (454).

It can be divided in two parts, 14 and 5280, that multiplied together give a triangular number (73920 = T384).

The spelling of 145280 in words is "one hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 320 454 640 908 1135 1816 2270 3632 4540 7264 9080 14528 18160 29056 36320 72640 145280