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10000037 = 43313743
BaseRepresentation
bin100110001001…
…011010100101
3200211001110202
4212021122211
510030000122
6554200245
7150666425
oct46113245
920731422
1010000037
1157101a3
123423085
1320c18a8
141484485
15d27e92
hex9896a5

10000037 has 8 divisors (see below), whose sum is σ = 10279104. Its totient is φ = 9723168.

The previous prime is 10000019. The next prime is 10000079. The reversal of 10000037 is 73000001.

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 10000037 - 26 = 9999973 is a prime.

It is a super-3 number, since 3×100000373 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

10000037 is a modest number, since divided by 37 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 9999982 and 10000027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000537) 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, 13088 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (1284888).

Almost surely, 210000037 is an apocalyptic number.

It is an amenable number.

10000037 is a deficient number, since it is larger than the sum of its proper divisors (279067).

10000037 is an equidigital number, since it uses as much as digits as its factorization.

10000037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099.

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 10000037 is about 3162.2835103766. The cubic root of 10000037 is about 215.4437347165.

Adding to 10000037 its reverse (73000001), we get a palindrome (83000038).

The spelling of 10000037 in words is "ten million, thirty-seven", and thus it is an aban number and an uban number.

Divisors: 1 43 313 743 13459 31949 232559 10000037