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152980165 = 5137972953
BaseRepresentation
bin10010001111001…
…00101011000101
3101122212012100001
421013210223011
5303130331130
623102521301
73535211212
oct1107445305
9348765301
10152980165
1179398298
1243296231
1325903510
1416462b09
15d66c6ca
hex91e4ac5

152980165 has 16 divisors (see below), whose sum is σ = 198012528. Its totient is φ = 112790016.

The previous prime is 152980129. The next prime is 152980181. The reversal of 152980165 is 561089251.

152980165 = T2137 + T2138 + ... + T2201.

It can be written as a sum of positive squares in 8 ways, for example, as 1640961 + 151339204 = 1281^2 + 12302^2 .

It is a cyclic number.

It is not a de Polignac number, because 152980165 - 227 = 18762437 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 50329 + ... + 53281.

It is an arithmetic number, because the mean of its divisors is an integer number (12375783).

Almost surely, 2152980165 is an apocalyptic number.

It is an amenable number.

152980165 is a deficient number, since it is larger than the sum of its proper divisors (45032363).

152980165 is a wasteful number, since it uses less digits than its factorization.

152980165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768.

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 152980165 is about 12368.5150685117. The cubic root of 152980165 is about 534.8250104616.

The spelling of 152980165 in words is "one hundred fifty-two million, nine hundred eighty thousand, one hundred sixty-five".

Divisors: 1 5 13 65 797 2953 3985 10361 14765 38389 51805 191945 2353541 11767705 30596033 152980165