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10507399 = 719199397
BaseRepresentation
bin101000000101…
…010010000111
3201202211102221
4220011102013
510142214044
61013113211
7155211550
oct50052207
921684387
1010507399
115a27401
123628807
13223b7c6
141577327
15dc8484
hexa05487

10507399 has 16 divisors (see below), whose sum is σ = 12736000. Its totient is φ = 8468064.

The previous prime is 10507397. The next prime is 10507417. The reversal of 10507399 is 99370501.

10507399 = T1 + T2 + ... + T397.

10507399 is a nontrivial binomial coefficient, being equal to C(399, 3).

It is a 7-Lehmer number, since φ(10507399) divides (10507399-1)7.

It is a cyclic number.

It is not a de Polignac number, because 10507399 - 21 = 10507397 is a prime.

It is a super-2 number, since 2×105073992 = 220810867490402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507391) by changing a digit.

It is the 397-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26269 + ... + 26665.

It is an arithmetic number, because the mean of its divisors is an integer number (796000).

Almost surely, 210507399 is an apocalyptic number.

10507399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10507399 is a deficient number, since it is larger than the sum of its proper divisors (2228601).

10507399 is a wasteful number, since it uses less digits than its factorization.

10507399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622.

The product of its (nonzero) digits is 8505, while the sum is 34.

The square root of 10507399 is about 3241.5118386333. The cubic root of 10507399 is about 219.0273799368.

The spelling of 10507399 in words is "ten million, five hundred seven thousand, three hundred ninety-nine".

Divisors: 1 7 19 133 199 397 1393 2779 3781 7543 26467 52801 79003 553021 1501057 10507399