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10037417 = 13259393
BaseRepresentation
bin100110010010…
…100010101001
3200212221202012
4212102202221
510032144132
6555045305
7151213415
oct46224251
920787665
1010037417
115736295
123440835
132105900
141493d45
15d340b2
hex9928a9

10037417 has 6 divisors (see below), whose sum is σ = 10869102. Its totient is φ = 9265152.

The previous prime is 10037411. The next prime is 10037441. The reversal of 10037417 is 71473001.

It can be written as a sum of positive squares in 3 ways, for example, as 234256 + 9803161 = 484^2 + 3131^2 .

It is not a de Polignac number, because 10037417 - 212 = 10033321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10037392 and 10037401.

It is not an unprimeable number, because it can be changed into a prime (10037411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29528 + ... + 29865.

It is an arithmetic number, because the mean of its divisors is an integer number (1811517).

Almost surely, 210037417 is an apocalyptic number.

It is an amenable number.

10037417 is a deficient number, since it is larger than the sum of its proper divisors (831685).

10037417 is an equidigital number, since it uses as much as digits as its factorization.

10037417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59419 (or 59406 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 10037417 is about 3168.1882835463. The cubic root of 10037417 is about 215.7118428322.

Adding to 10037417 its sum of digits (23), we get a triangular number (10037440 = T4480).

The spelling of 10037417 in words is "ten million, thirty-seven thousand, four hundred seventeen".

Divisors: 1 13 169 59393 772109 10037417