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145430160 = 2435976247
BaseRepresentation
bin10001010101100…
…01011010010000
3101010122121200020
420222301122100
5244212231120
622233023440
73414064431
oct1052613220
9333577606
10145430160
1175100917
1240854b80
132418bb65
1415459488
15cb7a640
hex8ab1690

145430160 has 80 divisors (see below), whose sum is σ = 455554176. Its totient is φ = 38375424.

The previous prime is 145430149. The next prime is 145430177. The reversal of 145430160 is 61034541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1454301602 = 42299862875251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145430160.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20157 + ... + 26403.

Almost surely, 2145430160 is an apocalyptic number.

145430160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145430160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227777088).

145430160 is an abundant number, since it is smaller than the sum of its proper divisors (310124016).

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

145430160 is a wasteful number, since it uses less digits than its factorization.

145430160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 145430160 is about 12059.4427731964. The cubic root of 145430160 is about 525.8777877771.

The spelling of 145430160 in words is "one hundred forty-five million, four hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 6247 7760 11640 12494 18741 23280 24988 31235 37482 49976 62470 74964 93705 99952 124940 149928 187410 249880 299856 374820 499760 605959 749640 1211918 1499280 1817877 2423836 3029795 3635754 4847672 6059590 7271508 9089385 9695344 12119180 14543016 18178770 24238360 29086032 36357540 48476720 72715080 145430160