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145505540 = 22510616857
BaseRepresentation
bin10001010110000…
…11110100000100
3101010210110002002
420223003310010
5244222134130
622234404432
73414530255
oct1053036404
9333713062
10145505540
1175152514
1240890718
13241b726b
1415478b2c
15cb92b45
hex8ac3d04

145505540 has 24 divisors (see below), whose sum is σ = 305894232. Its totient is φ = 58138880.

The previous prime is 145505531. The next prime is 145505543. The reversal of 145505540 is 45505541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 145106116 = 632^2 + 12046^2 .

It is not an unprimeable number, because it can be changed into a prime (145505543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17792 + ... + 24648.

It is an arithmetic number, because the mean of its divisors is an integer number (12745593).

Almost surely, 2145505540 is an apocalyptic number.

145505540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145505540 is an abundant number, since it is smaller than the sum of its proper divisors (160388692).

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

145505540 is a wasteful number, since it uses less digits than its factorization.

145505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 29.

The square root of 145505540 is about 12062.5677200172. The cubic root of 145505540 is about 525.9686305127.

Subtracting from 145505540 its reverse (45505541), we obtain a palindrome (99999999).

The spelling of 145505540 in words is "one hundred forty-five million, five hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1061 2122 4244 5305 6857 10610 13714 21220 27428 34285 68570 137140 7275277 14550554 29101108 36376385 72752770 145505540