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9930401 = 134611657
BaseRepresentation
bin100101111000…
…011010100001
3200200111221122
4211320122201
510020233101
6552502025
7150256415
oct45703241
920614848
109930401
115672948
1233aa915
132098ca0
141466d45
15d1251b
hex9786a1

9930401 has 8 divisors (see below), whose sum is σ = 10723944. Its totient is φ = 9141120.

The previous prime is 9930391. The next prime is 9930419. The reversal of 9930401 is 1040399.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 9928801 = 40^2 + 3151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9930401 - 26 = 9930337 is a prime.

It is a super-2 number, since 2×99304012 = 197225728041602, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9930461) 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 7 ways as a sum of consecutive naturals, for example, 5165 + ... + 6821.

It is an arithmetic number, because the mean of its divisors is an integer number (1340493).

Almost surely, 29930401 is an apocalyptic number.

It is an amenable number.

9930401 is a deficient number, since it is larger than the sum of its proper divisors (793543).

9930401 is a wasteful number, since it uses less digits than its factorization.

9930401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 9930401 is about 3151.2538774272. The cubic root of 9930401 is about 214.9424832624.

The spelling of 9930401 in words is "nine million, nine hundred thirty thousand, four hundred one".

Divisors: 1 13 461 1657 5993 21541 763877 9930401