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146321000 = 2353720903
BaseRepresentation
bin10001011100010…
…10111001101000
3101012022212200022
420232022321220
5244424233000
622304100012
73424464560
oct1056127150
9335285608
10146321000
117565a151
1241004608
1324411497
141560bda0
15cca4585
hex8b8ae68

146321000 has 64 divisors (see below), whose sum is σ = 391322880. Its totient is φ = 50164800.

The previous prime is 146320997. The next prime is 146321027. The reversal of 146321000 is 123641.

It is a self number, because there is not a number n which added to its sum of digits gives 146321000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3452 + ... + 17451.

It is an arithmetic number, because the mean of its divisors is an integer number (6114420).

Almost surely, 2146321000 is an apocalyptic number.

146321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146321000 is an abundant number, since it is smaller than the sum of its proper divisors (245001880).

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

146321000 is a wasteful number, since it uses less digits than its factorization.

146321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20931 (or 20917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 146321000 is about 12096.3217549799. The cubic root of 146321000 is about 526.9493666450.

Adding to 146321000 its reverse (123641), we get a palindrome (146444641).

The spelling of 146321000 in words is "one hundred forty-six million, three hundred twenty-one 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 20903 41806 83612 104515 146321 167224 209030 292642 418060 522575 585284 731605 836120 1045150 1170568 1463210 2090300 2612875 2926420 3658025 4180600 5225750 5852840 7316050 10451500 14632100 18290125 20903000 29264200 36580250 73160500 146321000