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145103418 = 232193711467
BaseRepresentation
bin10001010011000…
…01101000111010
3101010001000110200
420221201220322
5244121302133
622222023030
73411234015
oct1051415072
9333030420
10145103418
11749a8389
1240717a76
13240a6215
14153b237c
15cb13913
hex8a61a3a

145103418 has 48 divisors (see below), whose sum is σ = 339911520. Its totient is φ = 44579808.

The previous prime is 145103417. The next prime is 145103419. The reversal of 145103418 is 814301541.

It is a happy number.

145103418 is a `hidden beast` number, since 145 + 103 + 418 = 666.

It is an interprime number because it is at equal distance from previous prime (145103417) and next prime (145103419).

It is a junction number, because it is equal to n+sod(n) for n = 145103391 and 145103400.

It is not an unprimeable number, because it can be changed into a prime (145103411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6921 + ... + 18387.

It is an arithmetic number, because the mean of its divisors is an integer number (7081490).

Almost surely, 2145103418 is an apocalyptic number.

145103418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145103418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169955760).

145103418 is an abundant number, since it is smaller than the sum of its proper divisors (194808102).

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

145103418 is a wasteful number, since it uses less digits than its factorization.

145103418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11531 (or 11528 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 145103418 is about 12045.8880120977. Note that the first 3 decimals coincide. The cubic root of 145103418 is about 525.4836576936.

Adding to 145103418 its reverse (814301541), we get a palindrome (959404959).

The spelling of 145103418 in words is "one hundred forty-five million, one hundred three thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 11467 12654 22934 34401 68802 103203 206406 217873 424279 435746 653619 848558 1272837 1307238 1960857 2545674 3818511 3921714 7637022 8061301 16122602 24183903 48367806 72551709 145103418