Search a number
-
+
145536885 = 3351326379
BaseRepresentation
bin10001010110010…
…11011101110101
3101010212001002000
420223023131311
5244224140020
622235205513
73415020534
oct1053133565
9333761060
10145536885
117517401a
12408a6899
13241c8600
141548631b
15cb9c090
hex8acb775

145536885 has 48 divisors (see below), whose sum is σ = 280209600. Its totient is φ = 71637696.

The previous prime is 145536869. The next prime is 145536889. The reversal of 145536885 is 588635541.

145536885 is a `hidden beast` number, since 14 + 553 + 6 + 8 + 85 = 666.

It is not a de Polignac number, because 145536885 - 24 = 145536869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (576000) is a multiple of the sum of its prime divisors (6400).

It is a self number, because there is not a number n which added to its sum of digits gives 145536885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145536889) 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, 19626 + ... + 26004.

It is an arithmetic number, because the mean of its divisors is an integer number (5837700).

Almost surely, 2145536885 is an apocalyptic number.

145536885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145536885 is a deficient number, since it is larger than the sum of its proper divisors (134672715).

145536885 is a wasteful number, since it uses less digits than its factorization.

145536885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6400 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 145536885 is about 12063.8669173694. The cubic root of 145536885 is about 526.0063960920.

The spelling of 145536885 in words is "one hundred forty-five million, five hundred thirty-six thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 169 195 351 507 585 845 1521 1755 2535 4563 6379 7605 19137 22815 31895 57411 82927 95685 172233 248781 287055 414635 746343 861165 1078051 1243905 2239029 3234153 3731715 5390255 9702459 11195145 16170765 29107377 48512295 145536885