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126023157 = 32131497229
BaseRepresentation
bin1111000001011…
…11010111110101
322210010122021100
413200233113311
5224230220112
620301040313
73060115311
oct740572765
9283118240
10126023157
1165156077
1236256099
1320155620
1412a46b41
15b0e52dc
hex782f5f5

126023157 has 24 divisors (see below), whose sum is σ = 197379000. Its totient is φ = 77021568.

The previous prime is 126023119. The next prime is 126023171. The reversal of 126023157 is 751320621.

It is a happy number.

126023157 is a `hidden beast` number, since 1 + 2 + 602 + 3 + 1 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14699556 + 111323601 = 3834^2 + 10551^2 .

It is not a de Polignac number, because 126023157 - 220 = 124974581 is a prime.

It is a super-2 number, since 2×1260231572 = 31763672200493298, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126023157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126023197) 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 23 ways as a sum of consecutive naturals, for example, 13819 + ... + 21047.

It is an arithmetic number, because the mean of its divisors is an integer number (8224125).

Almost surely, 2126023157 is an apocalyptic number.

It is an amenable number.

126023157 is a deficient number, since it is larger than the sum of its proper divisors (71355843).

126023157 is a wasteful number, since it uses less digits than its factorization.

126023157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 126023157 is about 11226.0036076958. The cubic root of 126023157 is about 501.3605040332.

Adding to 126023157 its reverse (751320621), we get a palindrome (877343778).

The spelling of 126023157 in words is "one hundred twenty-six million, twenty-three thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 39 117 149 447 1341 1937 5811 7229 17433 21687 65061 93977 281931 845793 1077121 3231363 9694089 14002573 42007719 126023157