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145206300 = 223521373533
BaseRepresentation
bin10001010011110…
…10110000011100
3101010020020121010
420221322300130
5244133100200
622224135220
73412142661
oct1051726034
9333206533
10145206300
1174a68708
1240767510
1324110cb5
14153dba68
15cb34150
hex8a7ac1c

145206300 has 72 divisors (see below), whose sum is σ = 423316656. Its totient is φ = 38428160.

The previous prime is 145206293. The next prime is 145206301. The reversal of 145206300 is 3602541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145206301) 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 23 ways as a sum of consecutive naturals, for example, 39334 + ... + 42866.

It is an arithmetic number, because the mean of its divisors is an integer number (5879398).

Almost surely, 2145206300 is an apocalyptic number.

145206300 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 145206300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211658328).

145206300 is an abundant number, since it is smaller than the sum of its proper divisors (278110356).

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

145206300 is a wasteful number, since it uses less digits than its factorization.

145206300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145206300 is about 12050.1576753169. The cubic root of 145206300 is about 525.6078220956.

Adding to 145206300 its reverse (3602541), we get a palindrome (148808841).

The spelling of 145206300 in words is "one hundred forty-five million, two hundred six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 3533 4110 6850 7066 8220 10275 10599 13700 14132 17665 20550 21198 35330 41100 42396 52995 70660 88325 105990 176650 211980 264975 353300 484021 529950 968042 1059900 1452063 1936084 2420105 2904126 4840210 5808252 7260315 9680420 12100525 14520630 24201050 29041260 36301575 48402100 72603150 145206300