Search a number
-
+
145376 = 2571159
BaseRepresentation
bin100011011111100000
321101102022
4203133200
514123001
63041012
71143560
oct433740
9241368
10145376
119a250
1270168
135122a
143ada0
152d11b
hex237e0

145376 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 55680.

The previous prime is 145361. The next prime is 145381. The reversal of 145376 is 673541.

145376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453762 = 42268362752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

145376 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 7 ways as a sum of consecutive naturals, for example, 2435 + ... + 2493.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2145376 is an apocalyptic number.

145376 is a gapful number since it is divisible by the number (16) 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 145376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

145376 is an abundant number, since it is smaller than the sum of its proper divisors (217504).

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

145376 is a wasteful number, since it uses less digits than its factorization.

145376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 145376 is about 381.2820478334. The cubic root of 145376 is about 52.5812498529.

The spelling of 145376 in words is "one hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 77 88 112 118 154 176 224 236 308 352 413 472 616 649 826 944 1232 1298 1652 1888 2464 2596 3304 4543 5192 6608 9086 10384 13216 18172 20768 36344 72688 145376