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103289418 = 2342812269
BaseRepresentation
bin1100010100000…
…01001001001010
321012100122110000
412022001021022
5202420230133
614125503430
72362642221
oct612011112
9235318400
10103289418
1153338961
122a711b76
1318525acb
14da09cb8
159104413
hex628124a

103289418 has 40 divisors (see below), whose sum is σ = 232370820. Its totient is φ = 34292160.

The previous prime is 103289413. The next prime is 103289423. The reversal of 103289418 is 814982301.

It is an interprime number because it is at equal distance from previous prime (103289413) and next prime (103289423).

It can be written as a sum of positive squares in 2 ways, for example, as 99261369 + 4028049 = 9963^2 + 2007^2 .

It is not an unprimeable number, because it can be changed into a prime (103289413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44388 + ... + 46656.

Almost surely, 2103289418 is an apocalyptic number.

103289418 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 103289418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116185410).

103289418 is an abundant number, since it is smaller than the sum of its proper divisors (129081402).

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

103289418 is a wasteful number, since it uses less digits than its factorization.

103289418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 103289418 is about 10163.1401643390. The cubic root of 103289418 is about 469.1934529865.

The spelling of 103289418 in words is "one hundred three million, two hundred eighty-nine thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 562 843 1686 2269 2529 4538 5058 6807 7587 13614 15174 20421 22761 40842 45522 61263 122526 183789 367578 637589 1275178 1912767 3825534 5738301 11476602 17214903 34429806 51644709 103289418