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146900000 = 255513113
BaseRepresentation
bin10001100000110…
…00010000100000
3101020102021220202
420300120100200
5300101300000
622324324332
73432425612
oct1060302040
9336367822
10146900000
1175a15165
12412436a8
1324584ba0
141571cdb2
15cd6add5
hex8c18420

146900000 has 144 divisors (see below), whose sum is σ = 392740488. Its totient is φ = 53760000.

The previous prime is 146899999. The next prime is 146900003. The reversal of 146900000 is 9641.

It can be written as a sum of positive squares in 12 ways, for example, as 133911184 + 12988816 = 11572^2 + 3604^2 .

It is a super-2 number, since 2×1469000002 = 43159220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (146900003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299944 + ... + 1300056.

Almost surely, 2146900000 is an apocalyptic number.

146900000 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 146900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196370244).

146900000 is an abundant number, since it is smaller than the sum of its proper divisors (245840488).

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

146900000 is an equidigital number, since it uses as much as digits as its factorization.

146900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 146900000 is about 12120.2310209006. The cubic root of 146900000 is about 527.6435074461.

Adding to 146900000 its reverse (9641), we get a palindrome (146909641).

The spelling of 146900000 in words is "one hundred forty-six million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 113 125 130 160 200 208 226 250 260 325 400 416 452 500 520 565 625 650 800 904 1000 1040 1130 1250 1300 1469 1625 1808 2000 2080 2260 2500 2600 2825 2938 3125 3250 3616 4000 4520 5000 5200 5650 5876 6250 6500 7345 8125 9040 10000 10400 11300 11752 12500 13000 14125 14690 16250 18080 20000 22600 23504 25000 26000 28250 29380 32500 36725 40625 45200 47008 50000 52000 56500 58760 65000 70625 73450 81250 90400 100000 113000 117520 130000 141250 146900 162500 183625 226000 235040 260000 282500 293800 325000 353125 367250 452000 565000 587600 650000 706250 734500 918125 1130000 1175200 1300000 1412500 1469000 1836250 2260000 2825000 2938000 3672500 4590625 5650000 5876000 7345000 9181250 11300000 14690000 18362500 29380000 36725000 73450000 146900000