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145355000 = 235474153
BaseRepresentation
bin10001010100111…
…11000011111000
3101010111210120112
420222133003320
5244202330000
622231243452
73413332340
oct1052370370
9333453515
10145355000
117505a3aa
1240819588
132416389b
1415439d20
15cb63235
hex8a9f0f8

145355000 has 80 divisors (see below), whose sum is σ = 389312880. Its totient is φ = 49824000.

The previous prime is 145354999. The next prime is 145355027. The reversal of 145355000 is 553541.

145355000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453550002 = 42256152050000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32924 + ... + 37076.

It is an arithmetic number, because the mean of its divisors is an integer number (4866411).

Almost surely, 2145355000 is an apocalyptic number.

145355000 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 145355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194656440).

145355000 is an abundant number, since it is smaller than the sum of its proper divisors (243957880).

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

145355000 is an equidigital number, since it uses as much as digits as its factorization.

145355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 145355000 is about 12056.3261402469. The cubic root of 145355000 is about 525.7871789115.

The spelling of 145355000 in words is "one hundred forty-five million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3500 4153 4375 5000 7000 8306 8750 16612 17500 20765 29071 33224 35000 41530 58142 83060 103825 116284 145355 166120 207650 232568 290710 415300 519125 581420 726775 830600 1038250 1162840 1453550 2076500 2595625 2907100 3633875 4153000 5191250 5814200 7267750 10382500 14535500 18169375 20765000 29071000 36338750 72677500 145355000