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145420380 = 223357173173
BaseRepresentation
bin10001010101011…
…11000001011100
3101010122010021000
420222233001130
5244211423010
622232510300
73414024060
oct1052570134
9333563230
10145420380
11750a4536
124084b390
1324187581
1415455aa0
15cb777c0
hex8aaf05c

145420380 has 384 divisors, whose sum is σ = 572866560. Its totient is φ = 29859840.

The previous prime is 145420369. The next prime is 145420381. The reversal of 145420380 is 83024541.

145420380 is a `hidden beast` number, since 1 + 454 + 203 + 8 + 0 = 666.

It is a super-2 number, since 2×1454203802 = 42294173838688800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145420381) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1992024 + ... + 1992096.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 2145420380 is an apocalyptic number.

145420380 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 145420380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286433280).

145420380 is an abundant number, since it is smaller than the sum of its proper divisors (427446180).

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

145420380 is a wasteful number, since it uses less digits than its factorization.

145420380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145420380 is about 12059.0372750067. The cubic root of 145420380 is about 525.8659993007.

The spelling of 145420380 in words is "one hundred forty-five million, four hundred twenty thousand, three hundred eighty".