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145631115 = 355717123
BaseRepresentation
bin10001010111000…
…10011110001011
3101011000211100000
420223202132023
5244240143430
622241214043
73415562340
oct1053423613
9334024300
10145631115
11752288a3
1240931323
132422c476
14154ac7c7
15cbb9e60
hex8ae278b

145631115 has 48 divisors (see below), whose sum is σ = 299190528. Its totient is φ = 66570336.

The previous prime is 145631107. The next prime is 145631119. The reversal of 145631115 is 511136541.

145631115 is a `hidden beast` number, since 14 + 5 + 631 + 1 + 15 = 666.

145631115 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 145631115 - 23 = 145631107 is a prime.

It is a super-2 number, since 2×1456311152 = 42416843312286450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145631119) 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, 57 + ... + 17066.

It is an arithmetic number, because the mean of its divisors is an integer number (6233136).

Almost surely, 2145631115 is an apocalyptic number.

145631115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145631115 is an abundant number, since it is smaller than the sum of its proper divisors (153559413).

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

145631115 is an equidigital number, since it uses as much as digits as its factorization.

145631115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17150 (or 17138 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 145631115 is about 12067.7717495816. The cubic root of 145631115 is about 526.1198951298.

Adding to 145631115 its reverse (511136541), we get a palindrome (656767656).

It can be divided in two parts, 14 and 5631115, that added together give a square (5631129 = 23732).

The spelling of 145631115 in words is "one hundred forty-five million, six hundred thirty-one thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 8505 17123 51369 85615 119861 154107 256845 359583 462321 599305 770535 1078749 1386963 1797915 2311605 3236247 4160889 5393745 6934815 9708741 16181235 20804445 29126223 48543705 145631115