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10381407 = 317476171
BaseRepresentation
bin100111100110…
…100001011111
3201112102121120
4213212201133
510124201112
61010302023
7154145331
oct47464137
921472546
1010381407
115950783
123587913
1321c635a
141543451
15da0e8c
hex9e685f

10381407 has 32 divisors (see below), whose sum is σ = 15427584. Its totient is φ = 6182400.

The previous prime is 10381387. The next prime is 10381409. The reversal of 10381407 is 70418301.

10381407 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 10381407 - 27 = 10381279 is a prime.

It is a super-2 number, since 2×103814072 = 215547222599298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146182 + ... + 146252.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 210381407 is an apocalyptic number.

10381407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10381407 is a deficient number, since it is larger than the sum of its proper divisors (5046177).

10381407 is a wasteful number, since it uses less digits than its factorization.

10381407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10381407 is about 3222.0190874667. The cubic root of 10381407 is about 218.1484203772.

Adding to 10381407 its reverse (70418301), we get a palindrome (80799708).

The spelling of 10381407 in words is "ten million, three hundred eighty-one thousand, four hundred seven".

Divisors: 1 3 17 47 51 61 71 141 183 213 799 1037 1207 2397 2867 3111 3337 3621 4331 8601 10011 12993 48739 56729 73627 146217 170187 203557 220881 610671 3460469 10381407