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145322420 = 2253127561
BaseRepresentation
bin10001010100101…
…11000110110100
3101010110010212212
420222113012310
5244200304140
622230432552
73413135345
oct1052270664
9333403785
10145322420
1175037981
1240802758
1324151ac9
141542c0cc
15cb58765
hex8a971b4

145322420 has 36 divisors (see below), whose sum is σ = 315380772. Its totient is φ = 56246400.

The previous prime is 145322383. The next prime is 145322447. The reversal of 145322420 is 24223541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43191184 + 102131236 = 6572^2 + 10106^2 .

It is a super-2 number, since 2×1453224202 = 42237211509312800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15440 + ... + 23000.

It is an arithmetic number, because the mean of its divisors is an integer number (8760577).

Almost surely, 2145322420 is an apocalyptic number.

145322420 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 145322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157690386).

145322420 is an abundant number, since it is smaller than the sum of its proper divisors (170058352).

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

145322420 is a wasteful number, since it uses less digits than its factorization.

145322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 145322420 is about 12054.9749066516. The cubic root of 145322420 is about 525.7478925063.

Adding to 145322420 its reverse (24223541), we get a palindrome (169545961).

The spelling of 145322420 in words is "one hundred forty-five million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 7561 9610 15122 19220 30244 37805 75610 151220 234391 468782 937564 1171955 2343910 4687820 7266121 14532242 29064484 36330605 72661210 145322420