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10029937 = 21794603
BaseRepresentation
bin100110010000…
…101101110001
3200212120111011
4212100231301
510031424222
6554550521
7151152541
oct46205561
920776434
1010029937
115730705
123438441
132102398
141491321
15d31c77
hex990b71

10029937 has 4 divisors (see below), whose sum is σ = 10036720. Its totient is φ = 10023156.

The previous prime is 10029931. The next prime is 10029959. The reversal of 10029937 is 73992001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10029937 - 211 = 10027889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10029899 and 10029908.

It is not an unprimeable number, because it can be changed into a prime (10029931) 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 3 ways as a sum of consecutive naturals, for example, 123 + ... + 4480.

It is an arithmetic number, because the mean of its divisors is an integer number (2509180).

Almost surely, 210029937 is an apocalyptic number.

It is an amenable number.

10029937 is a deficient number, since it is larger than the sum of its proper divisors (6783).

10029937 is an equidigital number, since it uses as much as digits as its factorization.

10029937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782.

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 10029937 is about 3167.0075781406. The cubic root of 10029937 is about 215.6582458575.

The spelling of 10029937 in words is "ten million, twenty-nine thousand, nine hundred thirty-seven".

Divisors: 1 2179 4603 10029937