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145040 = 2457237
BaseRepresentation
bin100011011010010000
321100221212
4203122100
514120130
63035252
71142600
oct433220
9240855
10145040
1199a75
126bb28
135102c
143ac00
152ce95
hex23690

145040 has 60 divisors (see below), whose sum is σ = 402876. Its totient is φ = 48384.

The previous prime is 145037. The next prime is 145043. The reversal of 145040 is 40541.

It is an interprime number because it is at equal distance from previous prime (145037) and next prime (145043).

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 50176 = 308^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (145043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3902 + ... + 3938.

2145040 is an apocalyptic number.

145040 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 145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201438).

145040 is an abundant number, since it is smaller than the sum of its proper divisors (257836).

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

145040 is a wasteful number, since it uses less digits than its factorization.

145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 145040 is about 380.8411742446. The cubic root of 145040 is about 52.5407091662.

Adding to 145040 its reverse (40541), we get a palindrome (185581).

The spelling of 145040 in words is "one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 49 56 70 74 80 98 112 140 148 185 196 245 259 280 296 370 392 490 518 560 592 740 784 980 1036 1295 1480 1813 1960 2072 2590 2960 3626 3920 4144 5180 7252 9065 10360 14504 18130 20720 29008 36260 72520 145040