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400073013 = 36678191
BaseRepresentation
bin10111110110001…
…010000100110101
31000212210211000000
4113312022010311
51304404314023
6103410541513
712625364424
oct2766120465
91025724000
10400073013
1119591585a
12b1b97899
1364b688c2
143b1c32bb
15251ca243
hex17d8a135

400073013 has 28 divisors (see below), whose sum is σ = 608862208. Its totient is φ = 262702440.

The previous prime is 400072999. The next prime is 400073021. The reversal of 400073013 is 310370004.

It is not a de Polignac number, because 400073013 - 29 = 400072501 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400073213) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 44748 + ... + 52938.

Almost surely, 2400073013 is an apocalyptic number.

It is an amenable number.

400073013 is a deficient number, since it is larger than the sum of its proper divisors (208789195).

400073013 is an frugal number, since it uses more digits than its factorization.

400073013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 400073013 is about 20001.8252417123. The cubic root of 400073013 is about 736.8511273660.

The spelling of 400073013 in words is "four hundred million, seventy-three thousand, thirteen".

Divisors: 1 3 9 27 67 81 201 243 603 729 1809 5427 8191 16281 24573 48843 73719 221157 548797 663471 1646391 1990413 4939173 5971239 14817519 44452557 133357671 400073013