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145165410 = 232513532341
BaseRepresentation
bin10001010011100…
…00110001100010
3101010011011111200
420221300301202
5244130243120
622223222030
73411612525
oct1051606142
9333134450
10145165410
1174a3aa15
1240747916
13240c84c0
14153cabbc
15cb26e90
hex8a70c62

145165410 has 96 divisors (see below), whose sum is σ = 414309168. Its totient is φ = 35043840.

The previous prime is 145165409. The next prime is 145165417. The reversal of 145165410 is 14561541.

145165410 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 654 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61826769 + 83338641 = 7863^2 + 9129^2 .

It is not an unprimeable number, because it can be changed into a prime (145165417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60840 + ... + 63180.

Almost surely, 2145165410 is an apocalyptic number.

145165410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145165410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207154584).

145165410 is an abundant number, since it is smaller than the sum of its proper divisors (269143758).

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

145165410 is a wasteful number, since it uses less digits than its factorization.

145165410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 145165410 is about 12048.4608975587. The cubic root of 145165410 is about 525.5584805231.

The spelling of 145165410 in words is "one hundred forty-five million, one hundred sixty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1378 1590 2067 2341 2385 3445 4134 4682 4770 6201 6890 7023 10335 11705 12402 14046 20670 21069 23410 30433 31005 35115 42138 60866 62010 70230 91299 105345 124073 152165 182598 210690 248146 273897 304330 372219 456495 547794 620365 744438 912990 1116657 1240730 1369485 1612949 1861095 2233314 2738970 3225898 3722190 4838847 5583285 8064745 9677694 11166570 14516541 16129490 24194235 29033082 48388470 72582705 145165410