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145983097 = 1317660557
BaseRepresentation
bin10001011001110…
…00011001111001
3101011200201011101
420230320121321
5244332424342
622252531401
73421556461
oct1054703171
9334621141
10145983097
1175449297
1240a80b61
1324323740
1415560ba1
15cc393b7
hex8b38679

145983097 has 8 divisors (see below), whose sum is σ = 166460616. Its totient is φ = 126826752.

The previous prime is 145983091. The next prime is 145983127. The reversal of 145983097 is 790389541.

It is a happy number.

145983097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12257001 + 133726096 = 3501^2 + 11564^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 145983097 - 211 = 145981049 is a prime.

It is a super-3 number, since 3×1459830973 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145983091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330058 + ... + 330499.

It is an arithmetic number, because the mean of its divisors is an integer number (20807577).

Almost surely, 2145983097 is an apocalyptic number.

145983097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

145983097 is a deficient number, since it is larger than the sum of its proper divisors (20477519).

145983097 is a wasteful number, since it uses less digits than its factorization.

145983097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660587.

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 145983097 is about 12082.3465022321. The cubic root of 145983097 is about 526.5434212408.

The spelling of 145983097 in words is "one hundred forty-five million, nine hundred eighty-three thousand, ninety-seven".

Divisors: 1 13 17 221 660557 8587241 11229469 145983097