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10103940 = 22385711
BaseRepresentation
bin100110100010…
…110010000100
3201000100000000
4212202302010
510041311230
61000321300
7151611360
oct46426204
921010000
1010103940
115781270
123473230
132129c82
1414b02a0
15d48b60
hex9a2c84

10103940 has 216 divisors, whose sum is σ = 39678912. Its totient is φ = 2099520.

The previous prime is 10103921. The next prime is 10103941. The reversal of 10103940 is 4930101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10103941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 918535 + ... + 918545.

Almost surely, 210103940 is an apocalyptic number.

10103940 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 10103940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839456).

10103940 is an abundant number, since it is smaller than the sum of its proper divisors (29574972).

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

10103940 is an equidigital number, since it uses as much as digits as its factorization.

10103940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10103940 is about 3178.6695329965. The cubic root of 10103940 is about 216.1873374747.

It can be divided in two parts, 1010 and 3940, that added together give a triangular number (4950 = T99).

The spelling of 10103940 in words is "ten million, one hundred three thousand, nine hundred forty".