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145150020 = 22325806389
BaseRepresentation
bin10001010011011…
…01000001000100
3101010010101101200
420221231001010
5244124300040
622223022500
73411516621
oct1051550104
9333111350
10145150020
1174a2a3a4
124073aa30
13240c14b2
14153c5348
15cb22630
hex8a6d044

145150020 has 36 divisors (see below), whose sum is σ = 440288940. Its totient is φ = 38706624.

The previous prime is 145150013. The next prime is 145150021. The reversal of 145150020 is 20051541.

145150020 is a `hidden beast` number, since 145 + 1 + 500 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75794436 + 69355584 = 8706^2 + 8328^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 145149975 and 145150002.

It is not an unprimeable number, because it can be changed into a prime (145150021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403015 + ... + 403374.

Almost surely, 2145150020 is an apocalyptic number.

145150020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145150020 is an abundant number, since it is smaller than the sum of its proper divisors (295138920).

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

145150020 is a wasteful number, since it uses less digits than its factorization.

145150020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806404 (or 806399 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 145150020 is about 12047.8222098436. The cubic root of 145150020 is about 525.5399071571.

The spelling of 145150020 in words is "one hundred forty-five million, one hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 806389 1612778 2419167 3225556 4031945 4838334 7257501 8063890 9676668 12095835 14515002 16127780 24191670 29030004 36287505 48383340 72575010 145150020