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145313000 = 2353720759
BaseRepresentation
bin10001010100101…
…00110011101000
3101010102122221222
420222110303220
5244200004000
622230321212
73413066030
oct1052246350
9333378858
10145313000
1175030898
12407b9208
132414a731
14154288c0
15cb55a85
hex8a94ce8

145313000 has 64 divisors (see below), whose sum is σ = 388627200. Its totient is φ = 49819200.

The previous prime is 145312933. The next prime is 145313009. The reversal of 145313000 is 313541.

It is a super-2 number, since 2×1453130002 = 42231735938000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145313000.

It is not an unprimeable number, because it can be changed into a prime (145313009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3380 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (6072300).

Almost surely, 2145313000 is an apocalyptic number.

145313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145313000 is an abundant number, since it is smaller than the sum of its proper divisors (243314200).

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

145313000 is a wasteful number, since it uses less digits than its factorization.

145313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20787 (or 20773 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 145313000 is about 12054.5841902572. The cubic root of 145313000 is about 525.7365323593.

Adding to 145313000 its reverse (313541), we get a palindrome (145626541).

The spelling of 145313000 in words is "one hundred forty-five million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 20759 41518 83036 103795 145313 166072 207590 290626 415180 518975 581252 726565 830360 1037950 1162504 1453130 2075900 2594875 2906260 3632825 4151800 5189750 5812520 7265650 10379500 14531300 18164125 20759000 29062600 36328250 72656500 145313000