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146666538 = 2352313121
BaseRepresentation
bin10001011110111…
…11010000101010
3101012222102200000
420233133100222
5300021312123
622315323430
73430434144
oct1057372052
9335872600
10146666538
1175875817
1241150576
1324502845
141569bc94
15cd21b43
hex8bdf42a

146666538 has 48 divisors (see below), whose sum is σ = 343901376. Its totient is φ = 46759680.

The previous prime is 146666537. The next prime is 146666539. The reversal of 146666538 is 835666641.

It is an interprime number because it is at equal distance from previous prime (146666537) and next prime (146666539).

It is a super-2 number, since 2×1466665382 = 43022146737810888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146666493 and 146666502.

It is not an unprimeable number, because it can be changed into a prime (146666537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4618 + ... + 17738.

It is an arithmetic number, because the mean of its divisors is an integer number (7164612).

Almost surely, 2146666538 is an apocalyptic number.

146666538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146666538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171950688).

146666538 is an abundant number, since it is smaller than the sum of its proper divisors (197234838).

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

146666538 is a wasteful number, since it uses less digits than its factorization.

146666538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161 (or 13149 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 146666538 is about 12110.5961042386. The cubic root of 146666538 is about 527.3638386836.

The spelling of 146666538 in words is "one hundred forty-six million, six hundred sixty-six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1863 3726 5589 11178 13121 26242 39363 78726 118089 236178 301783 354267 603566 708534 905349 1062801 1810698 2125602 2716047 3188403 5432094 6376806 8148141 16296282 24444423 48888846 73333269 146666538