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145888 = 254797
BaseRepresentation
bin100011100111100000
321102010021
4203213200
514132023
63043224
71145221
oct434740
9242107
10145888
119a676
1270514
1351532
143b248
152d35d
hex239e0

145888 has 24 divisors (see below), whose sum is σ = 296352. Its totient is φ = 70656.

The previous prime is 145879. The next prime is 145897. The reversal of 145888 is 888541.

It is an interprime number because it is at equal distance from previous prime (145879) and next prime (145897).

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

145888 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, 1456 + ... + 1552.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2145888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176).

145888 is an abundant number, since it is smaller than the sum of its proper divisors (150464).

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

145888 is an equidigital number, since it uses as much as digits as its factorization.

145888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 10240, while the sum is 34.

The square root of 145888 is about 381.9528766746. The cubic root of 145888 is about 52.6429061936.

The spelling of 145888 in words is "one hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 47 94 97 188 194 376 388 752 776 1504 1552 3104 4559 9118 18236 36472 72944 145888