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400640121 = 337343261
BaseRepresentation
bin10111111000010…
…100100001111001
31000220212121221000
4113320110201321
51310030440441
6103431035213
712633246000
oct2770244171
91026777830
10400640121
11196172942
12b220bb09
1365006a7b
143b2cdc37
152528d2b6
hex17e14879

400640121 has 32 divisors (see below), whose sum is σ = 692192000. Its totient is φ = 228931920.

The previous prime is 400640113. The next prime is 400640153. The reversal of 400640121 is 121046004.

400640121 is a `hidden beast` number, since 4 + 0 + 0 + 640 + 1 + 21 = 666.

It is not a de Polignac number, because 400640121 - 23 = 400640113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400640094 and 400640103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400640111) 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, 12370 + ... + 30891.

It is an arithmetic number, because the mean of its divisors is an integer number (21631000).

Almost surely, 2400640121 is an apocalyptic number.

It is an amenable number.

400640121 is a deficient number, since it is larger than the sum of its proper divisors (291551879).

400640121 is an equidigital number, since it uses as much as digits as its factorization.

400640121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43291 (or 43271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400640121 is about 20015.9966276976. The cubic root of 400640121 is about 737.1991279091.

Adding to 400640121 its reverse (121046004), we get a palindrome (521686125).

The spelling of 400640121 in words is "four hundred million, six hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 43261 129783 302827 389349 908481 1168047 2119789 2725443 6359367 8176329 14838523 19078101 44515569 57234303 133546707 400640121