Search a number
-
+
126542340 = 22325703013
BaseRepresentation
bin1111000101011…
…10001000000100
322211010000110100
413202232020010
5224343323330
620320124100
73064410051
oct742561004
9284100410
10126542340
1165480151
1236466630
13202a7a32
1412b40028
15b199060
hex78ae204

126542340 has 36 divisors (see below), whose sum is σ = 383845644. Its totient is φ = 33744576.

The previous prime is 126542333. The next prime is 126542363. The reversal of 126542340 is 43245621.

126542340 is a `hidden beast` number, since 1 + 2 + 654 + 2 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36216324 + 90326016 = 6018^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351327 + ... + 351686.

It is an arithmetic number, because the mean of its divisors is an integer number (10662379).

Almost surely, 2126542340 is an apocalyptic number.

126542340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126542340 is an abundant number, since it is smaller than the sum of its proper divisors (257303304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126542340 is a wasteful number, since it uses less digits than its factorization.

126542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703028 (or 703023 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 126542340 is about 11249.1039643164. The cubic root of 126542340 is about 502.0480528383.

Adding to 126542340 its reverse (43245621), we get a palindrome (169787961).

It can be divided in two parts, 12654 and 2340, that multiplied together give a triangular number (29610360 = T7695).

The spelling of 126542340 in words is "one hundred twenty-six million, five hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 703013 1406026 2109039 2812052 3515065 4218078 6327117 7030130 8436156 10545195 12654234 14060260 21090390 25308468 31635585 42180780 63271170 126542340