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101842468 = 22713535279
BaseRepresentation
bin1100001000111…
…11111000100100
321002122010121021
412010133320210
5202032424333
614034500524
72344434550
oct604377044
9232563537
10101842468
115253a832
122a134744
131813a320
14d750860
158e1a82d
hex611fe24

101842468 has 48 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 39521664.

The previous prime is 101842453. The next prime is 101842469. The reversal of 101842468 is 864248101.

It is not an unprimeable number, because it can be changed into a prime (101842469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16653 + ... + 21931.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2101842468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101842468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

101842468 is an abundant number, since it is smaller than the sum of its proper divisors (121691612).

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

101842468 is a wasteful number, since it uses less digits than its factorization.

101842468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 101842468 is about 10091.7029286439. The cubic root of 101842468 is about 466.9922125295.

The spelling of 101842468 in words is "one hundred one million, eight hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1378 1484 2756 4823 5279 9646 10558 19292 21116 36953 68627 73906 137254 147812 274508 279787 480389 559574 960778 1119148 1921556 1958509 3637231 3917018 7274462 7834036 14548924 25460617 50921234 101842468