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146495120 = 24517107717
BaseRepresentation
bin10001011101101…
…01011010010000
3101012122201112012
420232311122100
5300000320440
622311522052
73426121322
oct1056653220
9335581465
10146495120
1175768a52
1241089328
1324472805
1415655612
15ccdae65
hex8bb5690

146495120 has 40 divisors (see below), whose sum is σ = 360639864. Its totient is φ = 55150592.

The previous prime is 146495117. The next prime is 146495179. The reversal of 146495120 is 21594641.

It can be written as a sum of positive squares in 4 ways, for example, as 17172736 + 129322384 = 4144^2 + 11372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 52499 + ... + 55218.

Almost surely, 2146495120 is an apocalyptic number.

146495120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146495120 is an abundant number, since it is smaller than the sum of its proper divisors (214144744).

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

146495120 is a wasteful number, since it uses less digits than its factorization.

146495120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107747 (or 107741 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 146495120 is about 12103.5168442895. The cubic root of 146495120 is about 527.1583046490.

The spelling of 146495120 in words is "one hundred forty-six million, four hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 107717 215434 430868 538585 861736 1077170 1723472 1831189 2154340 3662378 4308680 7324756 8617360 9155945 14649512 18311890 29299024 36623780 73247560 146495120