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104946840 = 233655961
BaseRepresentation
bin1100100000101…
…01110010011000
321022110212000000
412100111302120
5203331244330
614225213000
72413014315
oct620256230
9238425000
10104946840
1154270129
122b191160
131898632b
14dd1bd0c
159330560
hex6415c98

104946840 has 224 divisors, whose sum is σ = 365936400. Its totient is φ = 27060480.

The previous prime is 104946827. The next prime is 104946847. The reversal of 104946840 is 48649401.

It is a happy number.

It is a super-2 number, since 2×1049468402 = 22027678451971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104946795 and 104946804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104946847) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1720410 + ... + 1720470.

Almost surely, 2104946840 is an apocalyptic number.

104946840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104946840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182968200).

104946840 is an abundant number, since it is smaller than the sum of its proper divisors (260989560).

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

104946840 is an equidigital number, since it uses as much as digits as its factorization.

104946840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104946840 is about 10244.3564951636. The cubic root of 104946840 is about 471.6897678894.

The spelling of 104946840 in words is "one hundred four million, nine hundred forty-six thousand, eight hundred forty".