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10148418 = 2327239337
BaseRepresentation
bin100110101101…
…101001000010
3201002121000100
4212231221002
510044222133
61001303230
7152155140
oct46555102
921077010
1010148418
115801725
123494b16
1321442a7
1414c2590
15d56e13
hex9ada42

10148418 has 48 divisors (see below), whose sum is σ = 25309440. Its totient is φ = 2878848.

The previous prime is 10148407. The next prime is 10148441. The reversal of 10148418 is 81484101.

It is a junction number, because it is equal to n+sod(n) for n = 10148391 and 10148400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29946 + ... + 30282.

It is an arithmetic number, because the mean of its divisors is an integer number (527280).

Almost surely, 210148418 is an apocalyptic number.

10148418 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 10148418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12654720).

10148418 is an abundant number, since it is smaller than the sum of its proper divisors (15161022).

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

10148418 is a wasteful number, since it uses less digits than its factorization.

10148418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10148418 is about 3185.6581737531. The cubic root of 10148418 is about 216.5040952739.

The spelling of 10148418 in words is "ten million, one hundred forty-eight thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 337 478 674 717 1011 1434 1673 2022 2151 2359 3033 3346 4302 4718 5019 6066 7077 10038 14154 15057 21231 30114 42462 80543 161086 241629 483258 563801 724887 1127602 1449774 1691403 3382806 5074209 10148418