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146340675 = 35521317109
BaseRepresentation
bin10001011100011…
…11101101000011
3101012100212200000
420232033231003
5244430400200
622304331043
73424606125
oct1056175503
9335325600
10146340675
1175672a08
1241013a83
132441a420
1415615215
15ccaa300
hex8b8fb43

146340675 has 144 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 67184640.

The previous prime is 146340673. The next prime is 146340707. The reversal of 146340675 is 576043641.

It is a happy number.

146340675 is a `hidden beast` number, since 14 + 634 + 0 + 6 + 7 + 5 = 666.

It is not a de Polignac number, because 146340675 - 21 = 146340673 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (146340673) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1342521 + ... + 1342629.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 2146340675 is an apocalyptic number.

146340675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146340675 is an abundant number, since it is smaller than the sum of its proper divisors (166451805).

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

146340675 is a wasteful number, since it uses less digits than its factorization.

146340675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 146340675 is about 12097.1349913936. The cubic root of 146340675 is about 526.9729842714.

The spelling of 146340675 in words is "one hundred forty-six million, three hundred forty thousand, six hundred seventy-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 109 117 135 153 195 221 225 243 255 325 327 351 405 425 459 545 585 663 675 765 975 981 1053 1105 1215 1275 1377 1417 1635 1755 1853 1989 2025 2295 2725 2925 2943 3159 3315 3825 4131 4251 4905 5265 5525 5559 5967 6075 6885 7085 8175 8775 8829 9265 9945 11475 12753 14715 15795 16575 16677 17901 20655 21255 24089 24525 26325 26487 27795 29835 34425 35425 38259 44145 46325 49725 50031 53703 63765 72267 73575 78975 83385 89505 103275 106275 114777 120445 132435 138975 149175 150093 191295 216801 220725 250155 268515 318825 344331 361335 416925 447525 450279 573885 602225 650403 662175 750465 956475 1084005 1250775 1342575 1721655 1806675 1951209 2251395 2869425 3252015 3752325 5420025 5853627 8608275 9756045 11256975 16260075 29268135 48780225 146340675