Search a number
-
+
145427007 = 311191371693
BaseRepresentation
bin10001010101100…
…00101000111111
3101010122110100110
420222300220333
5244212131012
622233001103
73414052305
oct1052605077
9333573313
10145427007
11750a9510
1240853193
132418a5ab
1415458275
15cb7973c
hex8ab0a3f

145427007 has 32 divisors (see below), whose sum is σ = 224421120. Its totient is φ = 82840320.

The previous prime is 145426987. The next prime is 145427077. The reversal of 145427007 is 700724541.

145427007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145427007 - 210 = 145425983 is a prime.

It is a super-2 number, since 2×1454270072 = 42298028729956098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145427077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85053 + ... + 86745.

It is an arithmetic number, because the mean of its divisors is an integer number (7013160).

Almost surely, 2145427007 is an apocalyptic number.

145427007 is a deficient number, since it is larger than the sum of its proper divisors (78994113).

145427007 is a wasteful number, since it uses less digits than its factorization.

145427007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863.

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 145427007 is about 12059.3120450546. The cubic root of 145427007 is about 525.8739873168.

The spelling of 145427007 in words is "one hundred forty-five million, four hundred twenty-seven thousand, seven".

Divisors: 1 3 11 19 33 57 137 209 411 627 1507 1693 2603 4521 5079 7809 18623 28633 32167 55869 85899 96501 231941 353837 695823 1061511 2551351 4406879 7654053 13220637 48475669 145427007