Search a number
-
+
145354815 = 32529313593
BaseRepresentation
bin10001010100111…
…11000000111111
3101010111210022200
420222133000333
5244202323230
622231242543
73413331654
oct1052370077
9333453280
10145354815
117505a251
1240819453
1324163788
1415439c2b
15cb63160
hex8a9f03f

145354815 has 48 divisors (see below), whose sum is σ = 269118720. Its totient is φ = 72414720.

The previous prime is 145354813. The next prime is 145354817. The reversal of 145354815 is 518453541.

145354815 is a `hidden beast` number, since 145 + 35 + 481 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (145354813) and next prime (145354817).

It is not a de Polignac number, because 145354815 - 21 = 145354813 is a prime.

It is a super-2 number, since 2×1453548152 = 42256044487368450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145354815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145354813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38659 + ... + 42251.

It is an arithmetic number, because the mean of its divisors is an integer number (5606640).

Almost surely, 2145354815 is an apocalyptic number.

145354815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145354815 is a deficient number, since it is larger than the sum of its proper divisors (123763905).

145354815 is a wasteful number, since it uses less digits than its factorization.

145354815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3661 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 145354815 is about 12056.3184679238. The cubic root of 145354815 is about 525.7869558469.

The spelling of 145354815 in words is "one hundred forty-five million, three hundred fifty-four thousand, eight hundred fifteen".

Divisors: 1 3 5 9 15 29 31 45 87 93 145 155 261 279 435 465 899 1305 1395 2697 3593 4495 8091 10779 13485 17965 32337 40455 53895 104197 111383 161685 312591 334149 520985 556915 937773 1002447 1562955 1670745 3230107 4688865 5012235 9690321 16150535 29070963 48451605 145354815