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400206027 = 31321759787
BaseRepresentation
bin10111110110101…
…010100011001011
31000220001120110110
4113312222203023
51304423043102
6103413445403
712626460264
oct2766524313
91026046413
10400206027
111959a6791
12b2040863
1364bb4300
143b21996b
152520486c
hex17daa8cb

400206027 has 48 divisors (see below), whose sum is σ = 622961280. Its totient is φ = 227575296.

The previous prime is 400206019. The next prime is 400206067. The reversal of 400206027 is 720602004.

It is a happy number.

It is not a de Polignac number, because 400206027 - 23 = 400206019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400205994 and 400206012.

It is not an unprimeable number, because it can be changed into a prime (400206007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508128 + ... + 508914.

It is an arithmetic number, because the mean of its divisors is an integer number (12978360).

Almost surely, 2400206027 is an apocalyptic number.

400206027 is a deficient number, since it is larger than the sum of its proper divisors (222755253).

400206027 is a wasteful number, since it uses less digits than its factorization.

400206027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 400206027 is about 20005.1500119344. The cubic root of 400206027 is about 736.9327796749.

The spelling of 400206027 in words is "four hundred million, two hundred six thousand, twenty-seven".

Divisors: 1 3 13 17 39 51 59 169 177 221 507 663 767 787 1003 2301 2361 2873 3009 8619 9971 10231 13039 13379 29913 30693 39117 40137 46433 133003 139299 169507 173927 399009 508521 521781 603629 789361 1810887 2261051 2368083 6783153 7847177 10261693 23541531 30785079 133402009 400206027