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126642231 = 3317377457
BaseRepresentation
bin1111000110001…
…10100000110111
322211022002111000
413203012200313
5224410022411
620322214343
73065304222
oct743064067
9284262430
10126642231
1165539201
12364b43b3
1320311341
1412b685b9
15b1b8956
hex78c6837

126642231 has 32 divisors (see below), whose sum is σ = 204050880. Its totient is φ = 77303808.

The previous prime is 126642227. The next prime is 126642233. The reversal of 126642231 is 132246621.

126642231 is a `hidden beast` number, since 12 + 6 + 642 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 126642231 - 22 = 126642227 is a prime.

It is a super-2 number, since 2×1266422312 = 32076509345314722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 126642195 and 126642204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126642233) 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, 13255 + ... + 20711.

It is an arithmetic number, because the mean of its divisors is an integer number (6376590).

Almost surely, 2126642231 is an apocalyptic number.

126642231 is a deficient number, since it is larger than the sum of its proper divisors (77408649).

126642231 is a wasteful number, since it uses less digits than its factorization.

126642231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7514 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 126642231 is about 11253.5430420823. The cubic root of 126642231 is about 502.1801216565.

Adding to 126642231 its reverse (132246621), we get a palindrome (258888852).

The spelling of 126642231 in words is "one hundred twenty-six million, six hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 37 51 111 153 333 459 629 999 1887 5661 7457 16983 22371 67113 126769 201339 275909 380307 827727 1140921 2483181 3422763 4690453 7449543 14071359 42214077 126642231