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145402020 = 223351747337
BaseRepresentation
bin10001010101010…
…10100010100100
3101010121012002000
420222222202210
5244210331040
622232245300
73413616411
oct1052524244
9333535060
10145402020
1175091765
1240840830
132417c0ca
141544d108
15cb72130
hex8aaa8a4

145402020 has 192 divisors, whose sum is σ = 490613760. Its totient is φ = 35610624.

The previous prime is 145402013. The next prime is 145402039. The reversal of 145402020 is 20204541.

It is a super-2 number, since 2×1454020202 = 42283494840160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 145401984 and 145402002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 431292 + ... + 431628.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2145402020 is an apocalyptic number.

145402020 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 145402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

145402020 is an abundant number, since it is smaller than the sum of its proper divisors (345211740).

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

145402020 is a wasteful number, since it uses less digits than its factorization.

145402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145402020 is about 12058.2759961779. The cubic root of 145402020 is about 525.8438673590.

Adding to 145402020 its reverse (20204541), we get a palindrome (165606561).

The spelling of 145402020 in words is "one hundred forty-five million, four hundred two thousand, twenty".